{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## SIMULATION OF SEIR INFECTIOUS DISEASE MODEL FOR COVID-19\n",
    "\n",
    "#### Author: Yiran Jing\n",
    "\n",
    "### Content:\n",
    "1. China Total\n",
    "2. Ex-Hubei\n",
    "3. Hubei"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import operator\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import pandas\n",
    "from math import *\n",
    "import datetime\n",
    "import matplotlib.dates as mdates\n",
    "from Dynamic_SEIR_model import *\n",
    "from helper_fun_epi_model import *\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.metrics import mean_absolute_error\n",
    "from sklearn.metrics import mean_squared_error, r2_score\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2020-02-23 19:33:57Update records successfully to ../data/DXY_Chinese.csv\n",
      "Save area daily dataset (English) into ../data/DXYArea.csv\n",
      "CPU times: user 279 ms, sys: 87.3 ms, total: 366 ms\n",
      "Wall time: 22.1 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "## Update data from DXY\n",
    "! cd ../data_processing && python DXY_AreaData_query.py"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Some assumptions\n",
    "China_population = 1400000000\n",
    "Hubei_population = 58500000"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load data and clean data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Load data \n",
    "df = pd.read_csv(\"../data/DXYArea.csv\")\n",
    "\n",
    "\"\"\"\n",
    "Data Cleaning \n",
    "\"\"\"\n",
    "df['date'] = pd.to_datetime(df['date'])\n",
    "df = df[df['date'] > datetime.datetime(2019, 12, 7)]  # first day is 2019-12-08\n",
    "df = df[df['date'] != df['date'].max()] # remove todays' records (since it can be incompleted)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "## Dataset preperation\n",
    "df['R'] = df['cured'] + df['dead']\n",
    "SIR_data = df[['date', 'Days', 'countryCode','province', 'city', 'net_confirmed', 'suspected', 'R', \n",
    "              ]].rename(columns={\"net_confirmed\": \"I\", \"suspected\": \"E\"})\n",
    "#SIR_data.tail(3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
       "    .dataframe thead th {\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>Days</th>\n",
       "      <th>countryCode</th>\n",
       "      <th>province</th>\n",
       "      <th>city</th>\n",
       "      <th>I</th>\n",
       "      <th>E</th>\n",
       "      <th>R</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>6436</th>\n",
       "      <td>2020-02-12</td>\n",
       "      <td>66</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>51933</td>\n",
       "      <td>13435</td>\n",
       "      <td>6906</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6781</th>\n",
       "      <td>2020-02-13</td>\n",
       "      <td>67</td>\n",
       "      <td>CN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>55823</td>\n",
       "      <td>10109</td>\n",
       "      <td>8109</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           date  Days countryCode province city      I      E     R\n",
       "6436 2020-02-12    66          CN      NaN  NaN  51933  13435  6906\n",
       "6781 2020-02-13    67          CN      NaN  NaN  55823  10109  8109"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# China total\n",
    "\n",
    "# Use data before 2020-02-14 for train model\n",
    "China_df = SIR_data[SIR_data['date'] < datetime.datetime(2020, 2, 14)] \n",
    "China_total = get_China_total(China_df)\n",
    "China_total.tail(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Estimate China Total"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "Dynamic_SEIR1 = Train_Dynamic_SEIR(epoch = 10000, data = China_total, \n",
    "                 population = 1400000000, rateAl = 1/7, rateIR=1/14, c = 1, b = -10, alpha = 0.08)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 651028.5285864347\n",
      "The MAPE in the whole period is 0.07899450895866131\n"
     ]
    }
   ],
   "source": [
    "estimation_df = Dynamic_SEIR1.train() \n",
    "est_beta = Dynamic_SEIR1.rateSI\n",
    "est_alpha = Dynamic_SEIR1.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR1.numIndividuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Time</th>\n",
       "      <th>Estimated_Susceptible</th>\n",
       "      <th>Estimated_Exposed</th>\n",
       "      <th>Estimated_Infected</th>\n",
       "      <th>Estimated_Resistant</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>66</th>\n",
       "      <td>66.0</td>\n",
       "      <td>1.399928e+09</td>\n",
       "      <td>11531.162213</td>\n",
       "      <td>50142.785714</td>\n",
       "      <td>10615.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>67</th>\n",
       "      <td>67.0</td>\n",
       "      <td>1.399926e+09</td>\n",
       "      <td>8679.312385</td>\n",
       "      <td>53279.785714</td>\n",
       "      <td>12096.357143</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Time  Estimated_Susceptible  Estimated_Exposed  Estimated_Infected  \\\n",
       "66  66.0           1.399928e+09       11531.162213        50142.785714   \n",
       "67  67.0           1.399926e+09        8679.312385        53279.785714   \n",
       "\n",
       "    Estimated_Resistant  \n",
       "66         10615.500000  \n",
       "67         12096.357143  "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "estimation_df.tail(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Dynamic_SEIR1.plot_fitted_beta_R0(China_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Dynamic_SEIR1.plot_fitted_result(China_total)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "## use the last observation as the initial point in the new SEIR model\n",
    "\n",
    "# I is the net confirmed cases (total confirmed case - heal - died)\n",
    "I0 = list(China_total['I'])[-1]\n",
    "R0 = list(China_total['R'])[-1]\n",
    "# suppose the total number of individuals within incubation period is 4 time of current suscepted cases\n",
    "E0 = list(China_total['E'])[-1] *4\n",
    "S0 = population - I0 - E0 - R0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  58522\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "seir_new = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b, past_days = China_total['Days'].max())\n",
    "result = seir_new.run(death_rate = 0.02) # assume death rate is 2%\n",
    "seir_new.plot_noSuscep('Dynamic SEIR for China total', 'population', 'Date', starting_point = China_total['date'].max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MAMPE is: \n",
      "0.006594084653258002\n"
     ]
    },
    {
     "data": {
      "image/png": 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CLrR+PqCUCrPbzgd4rB7PoSGvyWq01sWYPqSBVA4sUr7vrphmwyWYKWWa2jvWsW9VSsU5rPsXEAS84zjg0omwAlD5AFYfKKWcDuRi/b348WSP10ASrZ+j7Bcqpc6gfoMegbluwExH4swCzGBRT9l/eaWUiqCypnWB3faZmJr4mvaXCIQppfrZL1RKXUvDDaIjhGgE0qxUCNFiaa1XK6X+jvkwvlsptRwzGmgAps/ZSExzsrHW9sXWwDUrgfesOdY2YgZK6Ilpcmb/d3E1ZkS9r5VS32NG2dyktf5ca31UKTUF+BjYqJRajWkapzE1V0MxfdnsB2H4K+aD53xlJojfhPmG/RJMSJhYj6f/EGY+vYnAn0qpLzCjO0YDYzADQSzUWtuUUs9j5jncopT6FDNQz2hMLeB3VNYMlPsYyFNKbcR8yFOY2sFBmGH47ecinInpW/SGUuo2zHxsWZj5HvthpvUYigmpHYHflVJbMAPDpGACwF8wTdqedzaqai02YAa2+QDT5O1CTP/JeODJeuwHTBjpjxm0Z6JS6ltMP8C2mL6IwzAjaG4HM1m6UuoFzCinW60+k+XzHGZSc/+tKhrymqzlMH/HvH63KKUGYV7z8nkOA4FbtNb76lLehqS1TlRK3YGZU+83pdQSzHx4IzHXzE5M/9SGOt67Vqh+EXP+/sBMg5OJea8OxVwD9RkFtTEtwryP5yulRmMGTOqGeb8sw/TfratdmOv5MqVUCWbEaA28bY34+zSm9noSsMn6W+qHmcuxLfCk1np9+c601nlKqZ8wc4q+C/yJqU38zGpmPx/zflxvva7ZmMGwhmNqcaecwPkQQjSFhpoTQ25yk5vc7G/UPs/hwhoes8bxMXb7WlPLsYZjJkJPw9Q8HcFMY/EfYKCT7WMwNW/7rO2PYkLNHIft/DETdKdiarWqld16Ti9iPrgVYgZd2ImpibnYybHjMB+OsjATf/8ITMDJHHh1OMcemFrInzEjJeZb5XgViHPY7i5MsDmG6X/4NiZAL7SO28lu+5swAXEvppYwA9ME8F6cz5cYCMzBhLI86xj7gC+BG7DmFcQ0b/0nJkzuxwSbA9brPgO7OfiO87zLy9wFM83ETuvc78d8KA1y8phEjjOHGiYEz8IEsAzr2tiP+YJhDhDtZPtbMM0ei6zr7yXMAB/Vjlfba9xQ1yQ1zwkaAjxhXR9F1vW3ChjjZNtR1D4n3nHPZV3e13brx2DCcaZVtgRMuA+p777qWJ5o61z8Zp2HEszfjO8wgy8FOWxf498fnL9/nJ6/2spe07WBmUvxM8yXK/mY99h1HOdvaQ3HGGRd29mYgWE0MMpuvY91nW/FvIdzrWt/Rg37i8N8qXXUbn+z7db/BfNFR651nldS2cfY2XOt13UlN7nJrXFuSuv69ukWQgghXEcptRC4CuistU50bWmEEEKI1kP6HAohhBBCCCGEkHAohBBCCCGEEELCoRBCCCGEEEIIkD6HQgghhBBCCCFkKgshhBCi2YiPj5/h5ub2rM1ma4sZDVUI0TzY3N3dfygrKzt/wIABJz33phDN1SlXcxgREaE7derk6mIIIYQQVQwaNIirr76aXr164efnh5ub9PwQormw2Wxs376dL7/8kqVLl3KqfX4WrU98fHy61rqN4/JTruawU6dO/Prrr64uhhBCCFHFli1b6Ny5MwEBAa4uihDCgZubG926dePcc8+lY8eOTJ48GT8/P1cXS4gTppRKcrZcvpYUQgghmoHi4mL5sClEM+bl5YWbmxsZGRmsXbvW1cURolFIOBRCCCGaCWlKKkTzpZTpBhwYGMihQ4dcXBohGof8FxJCCCHESZs3bx5XXHGFq4tRb+PGjeOtt95ydTEEkJiYiFKK0tJS4MRfm+TkZAICAigrK2voIgImJNpstkbZtxCuJuFQCCGEEHWycOFC+vbti5+fH+3bt+fmm28mKyvL1cWqM2cB9quvvuKqq65yUYlapk6dOuHr60tAQADt2rVj9uzZ5OXlNfhx6vradOrUiW+++abifkxMDHl5ebi7uzd4mYRo7SQcCiGEEOK4nnnmGe677z6eeuopsrOz2bhxI0lJSVxwwQUUFxc3SRnKa5SE633++efk5eXx22+/8euvv/LII49UWa+1lto1IVogCYdCCCGEqFVOTg5z587lhRdeYOzYsXh6etKpUyeWLFlCYmIi77zzDgCFhYVMnz6dwMBAzjzzTDZt2lSxjyeeeIKOHTsSGBjIaaedxurVqwEzRcDjjz9O165dCQ8PZ9q0aWRkZACVzQzfeOMNYmJiOPfccxk3bhwvvvhilfL179+fZcuWAXD77bcTHR1NUFAQAwYMYN26dQB8/fXXPProo3zwwQcEBATQv39/AEaNGsXrr79eUZZHHnmE2NhY2rZty5VXXkl2dnaVsrz11lvExMQQERHBv//978Y65S1Gx44dGTduHFu3bmXUqFE88MADDBs2DD8/P/bu3Ut2djbXXnstkZGRdOzYkQcffLCiuWdZWRn33HMPERERdOnShS+//LLKvu1fG4DXXnuNnj17EhgYSK9evfjtt9+YNWsWycnJTJw4kYCAAJ588slqzVPT0tK46KKLCAsLIy4ujtdee61in/PmzWPatGlceeWVBAYG0rt3bxnVXpzSJBwKIYQQolY//PADhYWFTJ48ucrygIAAxo8fz6pVqwD49NNPmTp1KhkZGcycOZOLL76YkpISdu3axYsvvsgvv/xCbm4uK1asoHzO4RdeeIFPPvmEtWvXkpaWRmhoKH/961+rHGft2rXs2LGDFStWMGPGDBYvXlyxbvv27SQlJTFhwgTAzBf5xx9/VJRh6tSpFBYWMnbsWObMmcP06dPJy8urElzLLVy4kIULF/Ldd9+xd+9e8vLyuOWWW6pss379enbt2sXq1at5+OGH2bFjx0mf35YsJSWF5cuXc8YZZwDw9ttv8+qrr5Kbm0tsbCyzZ8/Gw8ODhIQEfv/9d1auXFkR+F577TW++OILfv/9d3799VeWLl1a43E+/PBD5s2bx6JFi8jJyeGzzz4jPDyct99+m5iYmIqazHvvvbfaYy+77DKioqJIS0tj6dKlzJkzh2+//bZi/WeffcZll11GVlYWF110UbXXXIhTySk3z6EQQgjREvx3xTb2Hspp1GN0aRfEzRf2Pu526enpRERE4OFR/WNDZGQk8fHxnHbaaQwYMIApU6YAcNddd/HMM8+wceNGIiMjKSoqYvv27bRp06YiGAK88sorvPjii0RFRQGmJicmJoa33367Ypt58+bh7+8PwCWXXMLNN99MUlISsbGxvPvuu0yePBlvb2+AKn0K7777bh555BF27dpVUVNYm3fffZe77rqLLl26APDYY4/Rp08f3nzzzYpt5s6di6+vL/3796d///5s2rSJnj17HnffJ+W/d8CePxr3GF1Ph5vn13nziy++GA8PD4KDg5kwYQJz5sxh3LhxzJ49m969zTV16NAhli9fTlZWFr6+vvj7+3PnnXfy6quvcuONN7JkyRLuuOMOoqOjAbj//vtZs2aN0+O9/vrr3HvvvQwaNAiAuLi4OpUzJSWFDRs28OWXX+Lj48Ppp5/Oddddx6JFizj33HMBGD58OOPHjwdg1qxZzJ9f9/MgRGsjNYdCCCGEqFVERATp6elO+/wdOHCAiIgIgIoP+WCm5SivrYmLi2P+/PnMmzePtm3bctlll5GWlgZAUlISl1xyCSEhIYSEhNCzZ0/c3d2rTBVgv9/AwEAmTJjA+++/D8DixYu5/PLLK9Y//fTT9OzZk+DgYEJCQsjOziY9Pb1OzzMtLY3Y2NiK+7GxsZSWllYpS/v27St+9/Pza5SBWFqCTz75hKysLJKSknj55Zfx9fUFqr5WSUlJlJSUEBkZWfH63njjjRw+fBgw59t+e/tz7yglJYWuXbvWu5xpaWmEhYURGBhY5Tj79++vuO/4mhYWFkr/VnHKkppDIYQQohmqS41eUxk6dCje3t4sW7aMadOmVSzPy8vjq6++4tFHHyU1NZWUlJSKdTabjdTUVDp06ADAzJkzmTlzJjk5Odx4443cd999vP3220RHR7NgwQKGDRtW7biJiYlA5fxy5WbMmMFDDz3EOeecQ2FhIaNHjwZg3bp1PPnkk6xevZrevXvj5uZGaGgoWmun+3HUoUMHkpKSKu4nJyfj4eFBu3btSE1NrccZa2D1qNFzNftzHB0djbe3N+np6TXWOttfM8nJyTXuNzo6mj179hz3mI46dOhARkYGubm5FQExOTmZjh07Hve5CHEqkppDIYQQQtQqODiYuXPncuutt/L1119TUlJCYmIi06ZNIyoqilmzZgEQHx/PsmXLKC0tZf78+Xh7ezNkyBB27drFt99+S1FRET4+Pvj6+uLmZj6C3HTTTTzwwAMVoezIkSN8+umntZZn/PjxJCUl8c9//pPp06dX7Cs3NxcPDw/atGlDaWkpDz/8MDk5lU1z27VrR2JiYo2jaM6YMYNnn32Wffv2kZeXV9FH0VmwEccXGRnJmDFjuPvuu8nJycFms7Fnzx7Wrl0LwLRp03j++edJTU0lMzOTxx9/vMZ9XXfddTz99NPEx8ejtSYhIaHimmnXrh179+51+rjo6GjOPvts7r//fgoLC9m8eTNvvPFGi5yTU4imIOFQCCFaG5sNCgsgJwPS90PaHti3Ff78Fbasg/hV5vcyaTYl6u7ee+/l0Ucf5Z577iEoKIjBgwcTHR3N6tWrK/r7TZo0iQ8++IDQ0FDefvttli1bhqenJ0VFRfz9738nIiKC9u3bc/jwYR577DHAjC560UUXMWbMGAIDAxkyZAg//fRTrWXx9vZm8uTJfPPNN8ycObNi+YUXXsjYsWPp3r07sbGx+Pj4VGm2OHXqVADCw8M588wzq+33mmuuYdasWZxzzjl07twZHx8fXnjhhZM+d6eyRYsWUVxcTK9evQgNDWXKlCkcOHAAgOuvv54LL7yQ/v37c+aZZ1Yb8Mje1KlTeeCBB5g5cyaBgYFcfPHFFaPa3n///TzyyCOEhITw9NNPV3vs4sWLSUxMpEOHDlxyySU89NBDnH/++Y3zhIVo4VR5U4tTxcCBA7UMUSyEaBKlJVBcaN2OmZ9Fx6rer8+6kjpuU1LHOef8AqHXMOg3EvqeA90HgqdX454TUaP4+HgGDBjg6mIIIWoRHx/Pli1bsNlsXHPNNa4ujhAnTCkVr7Ue6Lhc2kkIIVo3raGkqDJI1RayalpXvtxpgKvl8bayEy+3UuDlC14+4G399LT73TcQgtuY+54+Vbcrf5z97+XblW+Tvh82r4Uta2HB/eaY3n7Qayj0HWkCY4+zzLZCCCGEOCVIOBRCuEZ+DhxOrqVmzEkAK19XlwBnv83J8PCsPXAFhtuFMvvt7JY5BrO6rPPwNAGxMY2abn5mHYGt60xY3LwW3p5rQrWnN/QcYmoV+42EnkPBx69xyySEEEIIl5FwKIRoOjYb/PEtrFgA65eZGr26sg9SzkJVQEj1YOasxs2xJu14NW7u7o13PpqLkDYwfLK5gemruG19ZVhc/G94918msHYfZIJiv5HQ62zTNFUIIYQQrYKEQyFE4zuYCCsXwso3TW1hYCiMu84EDG+/44c2T+/Gr0UTlYLCYOhF5gaQnw3bfjBNUDevhQ+fgvcfAzd36HZmZTPUPsNNSBdCCCFEiyThUAjROIqOmdrBFQtMbaFScOYFcN2TcPYk6cvWkvgHw1njzA3gWB5s/7Gyz+Knz8PSp81r3PX0yrDYdwQEhbu27C2MzWarmJZBCNG8nGqDOIpTk4RDIUTD0dpMkbBiAXy32NQ4te8MVz4MY66CtjGuLqFoCL4BMOACcwPzRcDOnyqboX75CnxsTdrdqU9lM9S+50BoO9eVu5nz8vKioKCAgIAAVxdFCOFEcXGxBETR6kk4FEKcvKwjsPodEwoTt5rmoCOmwJirTSiQmpDWzdsX+o8yN4DiIvjzl8qwuHIhfPaSWRfdozIo9hsJER1dVOjmp2PHjiQkJBAXF4efn5/UIArRjNhsNhITE8nMzMRms+HhIR+hResk8xwKIU5MWSn88rUJhBs/N/d7DIYLrzGjYPoHu36Vb54AACAASURBVLqEorkoLYHdv1X2Wdy6HgpyzLoOXSubofYbCe1iXVtWFztw4AApKSm4ubmhpJ+tEM1KYWEhSUlJHD58mP79+zN69GhXF0mIE1bTPIcSDoUQ9ZOyywwss+otyDho5tq74EpTS9ipt6tLJ1qCsjLY80dln8Wt6yA306xrF2vCYnnNYoeup9xgRAcPHuTjjz+mpKTE1UURQjiw2Wx06dKFcePG4enp6eriCHHCJBxaJBwKcQIKcuH7D00t4bYNZpTKwRNMLeFZ480UB0KcKJvNNEcub4a65XvIPmLWhXewmqFaNYvRp50SYbG4uJi8vDxsNpuriyKEsOPl5UVAQIA0+xYtnoRDi4RDIepIa9P8b8UCEwwL801/sQuvgfNnQVh7V5dQtFZaQ/IOu7C41tRSA4S0raxV7DcSYntLn1YhhBCiniQcWiQcCnEc6fth1SITCtMSzMiUoy4zobDnkFOi1kY0M1qba7E8LG5eC0dSzLqgcOgzojIsdu4H7u6uLa8QQgjRzEk4tEg4FMKJ4iIzqMzKN+HXr00zv34jTSAcfin4+ru6hEJU0hoOJpoaxS3fm7B4YK9Z5x8MfYZXNkPtdia4y6iCQgghhL2awqH8xxTiVLZ3s6khXP0O5Bw10wpMvx/GzIaOca4unRDOKQWRnc1tzGyz7HBKZVDcshZ++tIs9w2A3sMqw2L3geDp5bKiCyGEEM2Z1BwKcarJzTQT1K9YALvjzQfloZNMLeGZF0iTPNE6HD1gFxa/h6RtZrm3L/QcWtkMtcdg8PJxbVmFEEKIJibNSi0SDsUpyWaD31ebZqPrl0FJEXTpD2OvhXNnmn5bQrRmWUfMlBnlfRb3bTbNUz29TUAsH+Sm51BpRi2EEKLVk3BokXAoTikH9sGqhbByIRxOhsBQOPdyU0sYd4arSyeE6+RmmrBYXruY8Jv5EsXdA04bVNkMtfcw8At0dWmFEEKIBiXh0CLhULR6RcdM7eCKBfDHt6Z/1pkXmEB49iRpQtdCldk0hSWlFJWUUVhcRmFJmfm94n6pw3379aXVtnd3U4QGeBMW4E1YgA9hgXa/W8s93E+hKSLyc8wcnlusmsU/f4WyUjOnZ7czTc1i35HQdwQEhLi6tEIIIcRJkXBokXAoWiWtzYfZFQtMf8L8bIjsAmOuhguuhLYxri5hq2fTmqLyAGaFs8KS0hrCWuW6qtuX3y91uF9GSVn9JkN3U+Dj6YG3pzs+Xu74eJqbt/Wz1KbJyCsiI6+Q7PxinP0nCPbzqgiKFaExsGqADAv0wcezFfZTPZYPO36sbIa66ycoKTZftnTpb2oVy8NicISrSyuEEELUi0vCoVIqEcgFyoBSrfVApdTpwCuAD1AK/J/W+mellAKeA8YDBcBsrfVv1n6uAh60dvuI1vota/kAYCHgCywHbtfHeUISDkWrknnYjDS6YoEZcMPbF0ZMMbWEfc+RycHtaK0pKrVRWGxXw+YkzDkPa8cPc0Wl9QtvQGVYqwhvHnh7uuHj5VEtzJUvq7xfGfh8vDwql1vrPN3dUHWck7K0zEZWfjEZeYVWYCwiI7eQo+W/W8sz84oos1X/E+vn7VE1RFq1kOEOIdLf26POZWp2io7Bzp8qw+KOH6G40KyL7V05wE2/kRDazrVlFUIIIY7DleFwoNY63W7ZSuBZrfVXSqnxwL1a61HW77diwuFg4Dmt9WClVBjwKzAQ0EA8MEBrnamU+hm4DfgJEw6f11p/VVuZJByKFq+sFH752gTCjZ+b+z2HmFrCUdPNPG8tkNaakjJbrbVox20uWR7USmxVau3Ka/Tq+9fO28PNCm8OYe14Yc7LrKu+vXvF/rw96h7emgub1uQUFFcGyLxCMnKrBsjyYOksLHt7uFlNWWuohQzwITzQmyA/L9ya+7kpLoI/f6nss7htAxTmm3VRp1UNixEdXVtWIYQQwkFzmudQA0HW78FAmvX7JGCRVfO3USkVopSKBEYBq7TWGQBKqVXAWKXUGiBIa73RWr4IuBioNRwK0WKl7DKjja56CzIOQkhbuOQOuPBqiO3l6tLVSX5hCdtTM9mWksm2lAyO5BRWhLfCklKcVErVytPdzWn4CvD1JCLIx2mY87HCnGNNm2OY8/Z0b/4BpYm5KUWIvzch/t50qaVyTGtNQVGpVfPoPEAmHcnl933p5BeVVnu8u5si1N+7Sq2js5rJUH8X9ov08oY+w81txhwoLYHdv1X2WVzzPix/1Wwb2aWyGWq/kdC+k2vKLIQQQhxHY4dDDaxUSmngf1rrV4E7gBVKqacBN+Bsa9uOQIrdY1OtZbUtT3WyvBql1A3ADQAxMdL3SrQgBbmwdompJdz+gxkcY/AE02z0rPHg4enqEtbqcPYxtqVkWGEwk32HctCYkBHXPogeHUOqNJl0XjPnrObN/O4uzWabJaUU/j6e+Pt4EhMRUOu2RSVlDrWQ9s1ZiziUfYwd+7PILiiufhwgqLxfpF2ADK8SIs1y78buF+nhCT0Hm9u0e6GsDPZuqmyG+sMnsOJNs23UaTD5ThhzlQwQJYQQollp7HA4XGu9XynVFlillNoJTAHu1Fp/pJSaBrwBnN+YhbBC6atgmpU25rGEOGlaw9b1JhCuXQJFBRDdA657Es6fBWHtXV1Cp8psmqQjuWxLyWBrcibbUzM5nH0MAF8vd3pGhXLFyO70iQ7ltI4h+Hq5ouGCaG68Pd2JDPUjMtSv1u1Ky2xk5pc3W63ejDUjr4ikw7lk5jvvF+lf3i/SsRbSrnlreIA3fg3VL9LdGuW025lw6Z1mmozErSYofrMInr8J3p4LF98OE2+WEVCFEEI0C4366Uxrvd/6eVgp9TFwFnAVcLu1yYfA69bv+4Fou4dHWcv2Y5qW2i9fYy2PcrK9EC1T+n5YtciEwrQEM7fauZfD2GvMJN3NrIljUUkZu9Ky2JqcwfbUTLanZFY0EQwL8KZPTBhThnSmV3QYXdoFSi2fOCke7m60CfKlTZBvrduV94s86hgg7Zq37kjNJCOviOIa+kXWFiDLl9e7X6SbG3TpZ26TboE/voMlT8Cbc+CDx2DCTTD5DgjvUN9TI4QQQjSYRhuQRinlD7hprXOt31cBDwPPAjdrrdcopc4DntRaD1BKTQBuoXJAmue11mdZA9LEA2dau/4NMyBNhpMBaV7QWi+vrVwyII1oVoqLzKAyKxZA/ApTu9BvpGk2OvxS8PV3dQkrZOUXsT0lk22pmWxLzmD3gWxKrRqa2DYB9I4Oo3d0KH2iw2gX4tviBlsRpxatNflFpRW1jhl5RRwtD5MOwbKgpn6RDgEy3EnNZGiAV+1fjCT8DkuehO+XmGbj582CqX+DmB6N+OyFEEKc6pp8tFKlVBfgY+uuB/Ce1vrfSqnhmCkrPIBCzFQW8dZUFi8CYzFTWVyttf7V2tc1wBxrX//WWr9pLR9I5VQWXwG3ylQWokXYu9kEwtXvQM5RiIiCMbPNrUNXV5cOrTVpGQVsS81gW3ImW1MySD1qRmL0dHeje4fgijDYKzqUIF8vF5dYiMZTWFJWJUTWNMhOTf0ig/29qtQ6dmobyNjTo/H3seszfGAvLH3G/F0oKYKhk2D6fWYkYiGEEKKBuWQqi+ZIwqFwmdxMM0H9igWwOx48veDsi00t4Rnnmz5KLlJaZmPPoRy2JWew1RpJNCvffNAN8PGkd3QovaPD6BMTSrfIYLw8WuGk50KcpJIyG5kOc0NW6x+ZV8jR3CICfDyYNKgzFw/uVPXLlczD8OkL8PlL5m9G33NMSBw0rtk1LRdCCNFySTi0SDgUTcpmg99Xm0C44WNTI9D1dBMIz50JQeEuKVZ+UQk7U7PYao0kunN/FkUlZQC0D/G1gqCpGYyOCJApHYRoQLsPZLN43W427DqEn5cHEwfGMnlIZ0L8vSs3OpYHy1+Dj/4D6anQuS9MvdfMZdrMRykWQgjR/Ek4tEg4FE3iwD5YtRBWLoTDyRAYCudeYeYkjDujyYuTnlNoBUHTTHTf4RxsGtwUdGkXZAVBEwbDA2VofSGawr5DOSxen8D32w/g5enOhAExTBnSpep7sKTYtDj48ElI2g7tYmHyXTD22mbVJ1kIIUTLIuHQIuFQNJrCAli/zExU/8e3pgnYgDGmlnDoRU02n5lNa5KP5JkwmJzBttRMDmWZKSV8PN3pERVCn2gTBnt0DMHPW6aUEMKVktPzeH99At9tTcPdTTHuzGimnd216sisNhv89KUZ4XTbBtPq4KJbzMinwRGuK7wQQogWScKhRcKhaFBaw65fTLPR7xZDQQ5EdoExV8MFV0Hb6OPv4yQVl5axKy27IghuT8kgr7BySonK/oIypYQQzVlaRj4fbNjDqs2puCnFBf2jmD6sK+1DHOaA3LYBPnjCjHTs7WdqEafcbWoVhRBCiDqQcGiRcCgaROZhM9LoigWQtA28fWHEVDMnYZ8RZk6zRpJTUMz21Ey2Jpv+grsPZFNSZuZri4kIqAiDvaNDiQz1kyklhGhhDmUVsOSHPaz4IxWb1pzXtyOXDY+jY5hDM9LEbfDhU/Dtu+aLqlGXwbR7zVyKQgghRC0kHFokHIoTVlYKv3xtAuHGz839nkNMs9GR08E/qMEPqbXmYNYxKwiaMJicngeAh5uie4eQijDYKzqUYD+ZUkKI1iI9p5APf9zD8t+SKS2zMap3B2YMjyOmTWDVDQ+nwLJnYfmrUJhvRjadfp8Z6VS+HBJCCOGEhEOLhENRb8k7TT/CbxZBxkEIaQvnX2kGl4nt1aCHKrPZ2Hsot0oYzMgrAiDAx4Ne0WH0jgqld0wY3SOD8faUKSWEaO0y8gr5aOM+vvg1iaKSMob3jGTmiDi6tHP4QionAz5/GT55HrKPQI/BMO0+OHtSo7ZmEEII0fJIOLRIOBR1UpALa5eYWsLtP4CbOwz+i2k2Omhcgw0lf6y4lB2pWWxLyWBrSgY7U7MotKaUaBfiWxEE+0SHEdNGppQQ4lSWXVDMso17+eyXJAqKSxnavR2Xn9ONbpHBVTcsOgYr3oSlT8PBfRB1Gkz9G5x3BXh5O9+5EEKIU4qEQ4uEQ1EjrWHrehMI1y6BogKI6WmajZ53BYS1P+lDHM0tZJs1yfzW5Az2HsrFpjVuCjq3DaJ3TGV/wSojFQohhCX3WAmf/ryPj3/eR15hKYPi2jBzRDd6RYVW3bCsFL5fakY43fMHhHeAS+6ACTc2SjN4IYQQLYeEQ4uEQ1FN+n5Y9Zb5pj0tAfwCYeRlppawx+AT7rNj05qU9Dy2pZjBY7anZnIgswAAbw83ekSF0js6lD7RYfSICsHfWya2FkLUXX5RCZ//ksSyn/aRXVDM6Z3DuXxEN/rFhlfdUGuIX2VC4h/fgn8w/OVmuOT2BvnSSwghRMsj4dAi4VBUyMuC526EdUvNHGL9R5lawmGTT2hy6eLSMnYfyGZrsplOYltqJrnHSgAI8fcy00lEm2aiXdsF4eEufYCEECevsLiUL+KTWfrjXjLzi+gbE8bMEd04o3N49dGK//wVljxp/u55eJkpd6beAx27uabwQgghXELCoUXCoQAgZRfMvQgO7IUp98C466BD13rtIudYMdtTMtmeksnWlAz+TKucUiIq3N9MNB8TSu+oMDqEyZQSQojGVVRSxte/J7Pkh72k5xbSs2MIM0d0Y1Bcm+p/f/bvhg+fNq0mSoth+KVmhNPu1T4nCCGEaIUkHFokHAp+/goem2G+Nf/nR9B3xHEforXmUNYxa+AY02cw6UjllBLdIoPpHWP6CvaKCiXEXwZ9EEK4RnFpGSs3pbJkwx4OZR+jW2QwM4fHMeS0dtUHtco4CB8/B1/8F/Kz4fRzzQinAy6QaTCEEKIVk3BokXB4CtPafFP+xn3QpT/M+wTaxTrdtMxmY9+h3Cph8GiumVLCz9ujykTz3TuE4CNTSgghmpnSMhurt+xn8foEDmQW0LltIDOGxzG8ZyTubg7BLz8HvvyfmS8x4wDEnQFT74VzpoC7h2uegBBCiEYj4dAi4fAUVXQM5t8Aq9+BkdPgrgVV+hUWFpeyc39WRRDckZrJsWIzpUTbYF8rDJpAGNsmsPoHKyGEaKbKbDbWbE1j8foEUo7mEx3uz8wR3RjZOxJ3x/kPi4vg23dNv8TUXRDZBS6928zr6i0jKAshRGsh4dAi4fAUlL4f5l1sBmK4+t9w2f3kFJawNTmDLUlmfsGEAznYtEYBndsFVQmDbYPlA5EQouUrs2nW7zjAe+sSSDySS4cwPy4bFsd5fTtWHyDLZoMfP4MPHoedP0FwG7j4NrjorxAY6vwAQgghWgwJhxYJh6eYHRvhoUvQBXnsnPUia4IGsjkpg32HctCAl4cbp3UIoY9df0F/H5lSQgjRetm05sddh3hv3W4SDubQLsSX6Wd35YL+UXh5ODSR1xq2fA8fPAG/fAU+/jD+Bph8J7SNds0TEEIIcdIkHFokHJ4asvKLOLTkv8QtuZejPm158LQ5JPnH4u3hRs/oUPrHhtM3NpzTOgRX/zAkhBCnAK01Pycc5r11Cezcn0VEkA/ThnZh7BkxeDvrR713s2luuuZ9M1jNuZfDtHshtlfTF14IIcRJkXBokXDYOmXmFbE56ShbkjPYsvcQF/7yApPTPuWP0DP4/MLHievehX6xYXTvEIKnzC8ohBAVtNb8ti+d99YlsDU5g7AAby4d0oW/DIjBx8vJYDSHkuCj/8BXr0NRAQyZaKbB6D2s6QsvhBDihEg4tEg4bB2O5hayJSmDTUlH2ZJ0lJSj+QC0UQXMTXiabmk/c/SCmwi+/Tk8vLxcXFohhGgZNicd5d11u/lj31GC/byYPLgzEwfF4u/tpLl9djp89hJ88jzkZphwOO0+GDwBHAe6EUII0axIOLRIOGyZjuQcY0tShqkdTMogNcOEQT8vD/rEhNIvNpwBHofp/NIsVHoK3PaKGV1PCCFEvW1PzeS9dbv5JeEIAT6eXHJWJyad1ZlAXych8Vg+fP0GfPQMHE6G2N4w9W8wegZ4ypdzQgjRHEk4tEg4bBkOZx+rCIKbko5yILMAAH9vD/rEhNEvNpx+sWF0bR9khmL/8XN4fKYZLGHux9BrqIufgRBCtHx/pmXx3roEfvzzEH7eHkwa1IlLBncm2M9J6CstgbVLYMkTsG8LRETBpXfB+OvBN6DpCy+EEKJGEg4tEg6bp4NZBVWaiR7MOgZAgI8nfWPC6BdrAmHndkFV5xjUGt5/DBY+CN0GmGDYJspFz0IIIVqnPQdzWLw+gfU7DuDt6c7EgbFcOqQLoQHe1TfWGn752oTEzWvN1BcT/wqTboXQtk1feCGEENVIOLRIOHQ9rTUHs0zNoLllcDjbhMEgXxMG+8aGW2EwEDdVw4Tzx/LhP9eYb6rPvRzufE0maRZCiEaUdCSXxesTWLstDU93N8adGcPUoV2JCPJx/oAdP5mQ+MMn4OkNF14DU+6GyC5NW3AhhBBVSDi0SDhselpr0jILqjQTTc8pBCDYz8vUDHYKp19MGLFtawmD9g4nw9xJsHcTXPsETL3HDK0uhBCi0e0/ms/iDQms3rwfdzfFhadHMe3srrQL8XP+gOSd8OFTsPptsJXBOdPMCKddT2/aggshhAAkHFaQcNj4tNakHs1nS3IGmxKPsiX5KEdziwAI8feq6C/YLzacmIgAVH1D3ZZ18PClUFIEcxbDWeMb4VkIIYQ4noOZBXzwwx5W/pGCBi7oF8X0YV3pEObv/AFH02DZfPjyFSjIhQFjzAinp4+WL/iEEKIJSTi0SDhseFprUtLz2JSUwRZrrsGMPBMGwwK86RcbTl8rDEaH+9c/DNpb/hq8+Fdo3xnmfQoxPRroWQghhDhRh7OP8eGPe/jqtxTKbJrRfTowY3gc0RE1DESTlwVfvAIfz4fMQ9B9oAmJwy4Bd/emLbwQQpyCJBxaJByePJvWJB/Jq+gvuCX5KFn5xQBEBPpUBMF+sWF0DDvJMFiutAReudPMqTVwrKkxDAg5+f0KIYRoMEdzC1m6cS9fxidTXFLGOb0imTmiG53aBjp/QHEhrFpkmpymJUDHbjDlHrjgSvCqoR+jEEKIkybh0CLhsP5sWpN4OJctSUfZlJTB1uQMsgtMGGwT5FOlmWhkqF/DhEF72enwyFTYtMbMnXXNY/LNshBCNGNZ+UUs27iPz35N5FhxGcN6tGfm8DjiIoOdP6CsDDYsgw+egN3xENYeLr4dJt4M/jU8RgghxAmTcGiRcHh8Nq3ZdyinSjPR3GMlALQL9q1oJto/Npx2Ib4NHwbt7d1sBp7JOAB3vg7nX9F4xxJCCNGgcgqK+fjnfXz6cyL5RaUM7taWmSO60aNjDS0/tIY/vjMjnMavBL9AmHATTL4Dwjs0beGFEKIVk3BokXBYXZlNs/dQTkUz0a3JR8krLAUgMtTPmmfQ1A7WOBJdY1i/DJ680nxrPO8TOG1Q0x1bCCFEg8krLOGzXxJZ9tM+co+VMKBLBDNHdKNPTFjND0r4HZY8Cd8vAXcPOG+WaT0SfVrTFVwIIVopCYcWCYdQZrORcLAyDG5LziC/yITBDmF+Jghacw22DXbBvIE2G7zzMLzzEPQcAv9cBuGRTV8OIYQQDaqgqJQv4pNY+uNesguK6RcbxuUjutG/U3jNrVAO7IWlz8CKBWaU6rMvNoPX9BzctIUXQohWRMKh5VQMh6VlNhIOZrMp0Qwesy05k4JiEwajwvzp1ym8onawxomMm8qxPFNbuOFjGDMbbvuvDEoghBCtTGFJGct/S+bDH/aQkVdEr6hQZo6IY2DXNjWHxMzD8OkL8PlLkJsJ/UaakDhorEyDIYQQ9STh0HIqhMOSMht/pmWxJSmDzUlH2ZaSSWFJGQAxEQEVo4n2jQkjPLAZBa8D+2DeJEjaBjc8A5fcLv/whRCiFSsuLWPFHyl8sGEPR3IK6d4hmJnDuzGke9uaQ2JBLnz1Onz0H0hPhS79YOq9MGq6aX4qhBDiuFwSDpVSiUAuUAaUaq0HKqU+AMo7DIQAWVrr063t7weutba/TWu9wlo+FngOcAde11o/bi3vDLwPhAPxwCytdXFtZWqN4bC4tIw/07IrmoluT82kyAqDsW0CrP6CJgyGBni7uLQ1+OM7MyKptsGcD2DABa4ukRBCiCZSUmZj1aZUPtiQwMGsY3RpF8TM4XEM69ket5pCYkkxfLcYPnwSkrZDu1i49G4Yey34NGH/eCGEaIFcGQ4Haq3Ta1j/DJCttX5YKdULWAycBXQAvgG6W5v+CVwApAK/ADO01tuVUkuAZVrr95VSrwCbtNb/ra1MrSEcFpeWsWt/VsVoottTMykutQHQuW1gxWiifWPCCPFvpmGwnNbw+cvw8u0Q1R0e+gw6xrm6VEIIIVygtMzGd1vTeH99AqkZ+cS2CWDG8DjO6dUBd7caQqLNBj99aUY43bYBgsJh0q0w6RbzuxBCiGqaXThUpr1IMnCu1nq3VWuI1voxa/0KYJ61+Tyt9YXW8vutZY8DR4D2WutSpdRQ++1q0hLDYVFJGTv2Z1Y0E92RmkVJmQ0FdGkXVKWZaJCfl6uLW3clxfDiLfDVazBkItz3DvgHubpUQgghXKzMpvl+exrvrUsgOT2PqDB/Lhsex+g+HfBwd6v5gds2mLkSN34O3n4w7jq49C5TqyiEEKJCTeGwsRvna2ClUkoD/9Nav2q3bgRwSGu927rfEdhotz7VWgaQ4rB8MKYpaZbWutTJ9i1aYUkZO1Iz2Zx4lM3JGezab8KgmzJhcOLAWPrFhtMnJoxAX09XF/fEZB6Gf10KW9fDjDlw1b/ArZZ/+EIIIU4Z7m6K0X06MrJ3BzbsPMh76xJ4+rNNvPP9n0wfFscF/aPwdBYSew+Dhz+DxG3w4VOmZcpnL8HoGTDtXujct+mfjBBCtCCNHQ6Ha633K6XaAquUUju11t9b62ZgmpE2OqXUDcANADExMU1xyHopLC5lmxUGt1hhsNSmcVMQ1z6YSWd1om9MGH1iwgjwaaFh0F7C72Zi+5x0mPO+GURACCGEcOCmFCN6RjK8R3t+2n2Yd9ft5rkvt/Deut1MO7srY8+IxsvDvfoDO/WGvy00XzwuexaWvwqr34HBf4GbnpXuC0IIUYMmG61UKTUPyNNaP62U8gD2AwO01qnW+lOyWWl+YQnTnlllhUFF9w7B9I0Jo3+ncHpFh+Lv3QrCoL01H8AzV0NQhJnYvtuZri6REEKIFkJrTfzedN5bt5ttKZmEBXgzdWgXxg+IxcfTSUgsl5NhahE/fApKi+GKuTDlbvBoZf9jhRCijpq8z6FSyh9w01rnWr+vAh7WWn9tjT56v9Z6pN32vYH3qByQZjXQDVCYAWnOwwTKX4CZWuttSqkPgY/sBqTZrLV+ubZyNbdwCLD0x710ahtIr6hQ/Lxb6TDcNhu89Q9Y/Cj0GQ7/WAqh7VxdKiGEEC2Q1ppNSUd59/vdbE7KINjPi0uHdGHiwNja/4+m74eXb4P1y6BLf7jzNThtUNMVXAghmglXhMMuwMfWXQ/gPa31v611C4GNWutXHB7zAHANUArcobX+ylo+HpiPmcpigd1+umCmsggDfgeu0FoX1Vau5hgOW738HHjiCjNAwLjr4ZYXwbMFDZwjhBCi2dqanMF763YTvzedQF9PLjmrM5PO6lR7N4wNn8CLf4XMg2Zk06v+BX6BTVdoIYRwMZeMVtocSThsYvsTYO5FkPon/N9zMPH/ZGJ7IYQQDW7n/izeW7ebn3Yfxt/bg0lndeKSwZ0J8q3hy8j8bFgwB774L0REwW3/hcETmrbQQgjhIhIOLRIOm1D8Knh0Oig3ePBDOH20q0skhBCilUs4kM176xPYsPMgvl7uTBzYiUuHdK553t9tP8D8GyBpG4ycBjc/B2Htm7bQQgjRxCQcWiQcNgGtYdl8eO0ew2wPUgAAIABJREFUiO0N8z6FyM6uLpUQQohTSOLhXBavT2DttjS8PNyYMCCWKUO7EB7oU33jkmJY8iS89y8zP+L1T8HYa6WlixCi1ZJwaJFw2MiKi+D5m2DlQhh2Cdy7CHwDXF0qIYQQp6iU9Dze35DAt1vS8HRXzBjRjUuHdHY+BUbKLlOLuOV76DcSbv8fRJ/W9IUWQohGJuHQIuGwER09AA9Phh0bYdY8uPwfMrG9EEKIZiEtI583Vu9k/c6DRIX7c8u4PpzROaL6hjYbrFgAr/0Nio7BzAdh2r0ykJoQolWRcGiRcNhIdv0C8y42Hfz/9haMuNTVJRJCCCGq+SXhMC99vY0DmQWM6t2BGy7o6bypacZB+O/tsHaJ6SJx52vQa2jTF1gIIRpBTeFQqnXEyfvmHbhrBHh4wfwfJBgKIYRotgbFteV/N57DFed0Y8POg1z38lo++XkfZTZb1Q3D2sMDH8DDn0NBDtw5DF74q5meSQghWimpORQnrqwM3vg7LH0a+o8yI5IGO2miI4QQQjRD+4/m89KKbcTvOULXdkHcOr4PPaNCq294LA8WPgifPA/hHeCvL8Kwi5u+wEII0UCkWalFwmEDycuCR2fAr1/DRX+Fm54Fj1omHBZCCCGaIa0163cc5JWV20nPLWTsGdFce24Pgvyc9DHc+TPMvx72bjaDrt3yogmLQgjRwkg4tEg4bAApu8zE9gf2wi0vwYQbXF0iIYQQ4qQUFJXyzvd/8vFPiQT4eHDteT0Yc3o0bo7TWZSWwEf/gbfnme4U1z4OE26UAdiEEC2KhEOLhMOT9PNyU2Po6Q3//Aj6jnB1iYQQQogGs+9QDi98tZVtKZn0jArh1nF96do+qPqG+xPM1E2/r4ZeZ5sBa2J7NX2BhRDiBEg4tEg4PEFaw4dPmT6GXU+HeZ9A2xhXl0oIIYRocFprvtm8n9e+2UHusWImndWZWSO74e/t6bghrFoE/7sLjuXCZffDZXPAy9s1BRdCiDqScGiRcHgCio7Bs9fDt+/CyGlw95vg4+fqUgkhhBCNKudYMQu/28Xy+GRCA7y5cUwvRvaKRDk2Nc08/P/s3Wd4lEXbxvH/lYTQe++9CIiU0MGCSrOAKIqiIAqodBREsICIIogK0lSwUEREFEUFARsChhJAei/Se69p837Y5X2iggSym005f8exB5vZuWeufT+8Pufec894AuIvn0GhstDjQ6h0c2CKFhGJB4VDL4XDa3R4D7x6H2xZDo8P8vwq+s//KIqIiKRgG/eeYOSsNWw9cIoqxXPRuXEFCufK9O+OEXNgxNNwcCc06QAdhkKmbIler4jI1SgceikcXoP14TCwhWcL7xemQO17Al2RiIhIQMTEOn5Y/hef/rqJi1ExtKxTklb1SpEuTfDfO54/69ms5ut3IFse6PQe1H9AP6yKSJKicOilcBhPcz7xPGifuzAM+BaKVQh0RSIiIgF37MwFxv+0kZ/X7CVvtvR0alSBWmXy/rvjlhWeRzK2roCad0PXMZCncOIXLCJyGQqHXgqHVxETDR/2ghkjoMod8OIXkCVHoKsSERFJUlbtPMqo2WvZdeQMtcvk5ZlG5cmb7R/P48dEe/57OuEVz1EX7d6AezpBcPDlBxURSSQKh14Kh//h1DF4/SFY+RPc1wM6vgXBIYGuSkREJEmKiollxpIdTP59CzhH65tL06JWCdIE/+PMw/07YOQznmcSy9bwHHtRolJgihYRQeHw/ykcXsHOdTCgGRzeDd3eh0btAl2RiIhIsnDo5Hnen7OORZsOUjhnRro0rUjlYrn+3sk5+PVzGNsDzhyHlr2h9cuQNn1gihaRVE3h0Evh8DLCZ8KbrSF9JnjlayhfO9AViYiIJDtLthxkzI/rOHDiPA0qFqDDnTeQI1O6v3c6ddTz+MbcT6FAKej+AVRpEJB6RST1ulI4DLpcZ0klnIMpr8OA5lC4HIyKUDAUERG5TjVL5+XDp2/hkfqlWLDhAE+Omc+3y3YSExvnh/gsOaHXJzDkJ8BBn9vh7Sc8oVFEJMB05zC1On8W3nkC5k+DBq09zz9oaYuIiIhP7Dl6htE/rmPF9iOUypeFrk0rUq5g9r93ungePnsNvnwLMmWHZ4bDbQ/r2AsR8TstK/VSOAQO7YL+zWD7KnhyCLTspf8QiYiI+JhzjgUbDvD+3HUcO32RJlWL0K5BWbKkD/17x+2r4d32sGkZhDWGbmMhX7GA1CwiqYPCoVeqD4drFsDA+yE6Evp+DjWaBLoiERGRFO3sxSgmz9/CN0t3kjl9Gp68vRx33lSIoLg/zMbEwMzR8Ek/z2MfbQfCfd21a7iI+IXCoVeqDoc/fAijOkP+EvDqTChcNtAViYiIpBrbD55i5Ky1rN9znAqFs9OlSUVK5M3y906HdsHIzrDkeyhdzfPYR6kqgSlYRFIshUOvVBkOo6M8W2d/N8azXKXf55ApW6CrEhERSXVinWPeqj2M/2kDZy5E07xmMR67uQwZ0sa5Q+gcLJgOo7vCySPQoic8NgDSZwxY3SKSsigceqW6cHjiMAxqCavne85UemIwBAcHuioREZFU7dS5SD75dROzV+wiR+a0PN2wAvVvyIfFXWp6+jiM7wOzx0G+4p5ziMMaBq5oEUkxFA69UlU43L4a+t8Lxw5Az/Fwx6OBrkhERETi2LDnOKNmr2XrgVNUK5GLzo0rUjDnP+4Qrp4PwzvCns1w+6Pw1DuQLXdgChaRFEHh0CvVhMMFX8HQNp7lowO+gbLVA12RiIiIXEZMbCzfR/zFp79tJio6lgfrlOShuiVJmybOSp/IC/D5G/DFm5A+sycg3tlGu42LyHVROPRK8eEwNhYmD4TJr8INteCVryFn/kBXJSIiIldx9PQFxv+0gV/W7iN/9gx0alSBGqXz/L3TznWeu4jr/4Aqt0P3D6BAycAULCLJlsKhV4oOh+fPeO4WLpoBDR/3PJsQmjbQVYmIiMg1+HPnEUbNWsvuo2epWzYvTzeqQJ6s6f/XITYWfvgAPurj2XTusQFw/7MQkiZgNYtI8qJw6JViw+H+7Z6D7Xeth45ve85G0lITERGRZCkqJpavF2/ns9+3gBmP3lyaFjWLExIc9L9OR/Z6djRdNANK3OQ59kKPkYhIPCgceqXIcPjnr/DaA4CDF6dB1TsCXZGIiIj4wIET53h/znrCNx+kSK5MdG1akUpFc/6908IZMLoLHD8AzbrC44MgfabAFCwiyYLCoVeKCofOwczRnjMMC5eFAd9CwVKBrkpERER8bPHmg4yZs46DJ85z+40F6XDHDWTPFOfRkbMn4aO+8P1YyFMEuo6BmncFrmARSdIUDr1STDiMioRRnWH2eKh1D/SZDBmzBLoqERER8ZMLUTFMXbiVL//YRto0wbRrUJamVYsSHBTnMZJ1izwb1vy1Hm55EJ4ZATnyBa5oEUmSrhQOgy7X2YeT7jSzNWb2p5lFxGnvamYbzWydmQ2N097XzLaa2SYzaxSnvbG3bauZvRCnvbiZLfG2f2Fmof78PknG8YPwfANPMHz4Rc9RFQqGIiIiKVq6NME8fltZ3n/qZkoXyMqo2evo/vEiNu078b9OFerCmJXQZiD88Q20vwFmf+RZbSQichV+vXNoZjuBMOfckThttwEvAnc55y6aWR7n3CEzKw98DtQACgA/AWW8l20G7gT2AMuAh51z681sGvC1c26qmb0PrHLOjf2vmpL9ncMtK2BAczh1BJ77BG59KNAViYiISCJzzjF//X4+mLue42cucle1Ijx+Wzkyp4+zY+nuTZ67iGt+h0q3eI69KFw2cEWLSJIRkDuHV/AM8KZz7iKAc+6Qt70ZMNU5d9E5twPYiico1gC2Oue2O+cigalAMzMzoAEw3Xv9BKB5In6PxPfbF/BsPc/7dxcpGIqIiKRSZsatFQowvtMtNK9ZnFkrdvHkmN+Yt2oP///Df+Gy8Navnl1Mt6+Cp2+CzwZ5Hk0REbkMf4dDB8w1s+Vm1tHbVgao710OOt/MLu25XBDYHefaPd62K7XnBE4456L/0Z7yxMbCx/3gjVZQuhqMioBSVQJdlYiIiARYxrRpeLpheUa1r0eBHBkYNnMVvSYuZueh054OQUHQpD2M3wB1msGEl6FTVVgfHtjCRSRJ8nc4rOecqwo0ATqb2c1ACJADqAX0BqZ57wL6jZl1NLMIM4s4fPiwP6fyvbOnPOcXTh0MTTvCkJ8he55AVyUiIiJJSMl8WXnn8Tr0vPtG/jp8mmc+XMC4nzZwPtL7G3qOfPDiF/DqTDh3CnrWhZGdPf87Q0TEy6/h0Dm31/vvIWAGniWie/A8J+icc0uBWCAXsBcoHOfyQt62K7UfBbKZWcg/2i9Xx4fOuTDnXFju3Ll99fX8b+8W6F4Lls2GLqOh+/uQJnXsuSMiIiLXJsiMxlWK8FGnW2lYuRDTw7fTfux8FmzY/7+lprXvgXHrPOchfj8WOpSHRd8EtnARSTL8Fg7NLKOZZb70HmgIrAW+AW7ztpcBQoEjwEyglZmlNbPiQGlgKZ4NaEp7dyYNBVoBM53n/8v9CjzgnbIt8K2/vk+ii5gLXWvAiUMw5Ce4txP49wariIiIpABZM4TS8+5KvNuuDlnShzJo+gpe+nwZe4+d9XTIkBk6jYARiyFzDnj1Pni1BRzdF9jCRSTg/LZbqZmVwHO3EDxLSac45173BryPgcpAJNDLOfeL95oXgSeAaKCHc262t70pMBwIBj52zr0eZ46peJaprgQevbTRzZUk+d1KnYOvh8O4XlC0gudg+/zFA12ViIiIJEMxsbF8F/EXE37dTFRMLK3qluTBuiUJDQn2dIiOgulvw+RXISQU2g/xPMYSFIg9C0UksVxpt1K/HmWRFCXpcBh5AUY8DfMmQL0W0HsCpM8U6KpEREQkmTt6+gIfztvAb+v2kT97Bjo3rkD1UnH2MNi7FUY8BX/+4jkrsceHULR84AoWEb9SOPRKsuHw6H7Pso6NS+CxAdD6Zf1qJyIiIj61cscRRs1ey56jZ6lXLh9PNSxPnqzpPR865/mB+oPn4PxpaNUXWvWD0LSBLVpEfE7h0CtJhsNNyzwH2589Cc9P9Nw1FBEREfGDyOgYvlq8gykLthBkxqO3lOa+GsUJCfb+KH38EHzwLPzyGRQq6zkn8cb6gS1aRHzqSuEwXremzKyembXzvs/t3TBGfOHofuh1i2ed/4hwBUMRERHxq9CQYB6uV4pxT9/CTcVyMv6njXQat4A1u455OmTPAy9MhtdnQ9RFeO5mGP4UnDkR2MJFxO+ueufQzPoDYUBZ51wZMysAfOmcq5sYBfpakrxz+PNnENYIsuYKdCUiIiKSyoRvOsjYOes4ePI8d1YqRPs7ypEto3cp6fmzMKk/fP0uZMsDnd6D+g9oB3WRZO66l5Wa2Z9AFWCFc66Kt221c66SXyr1syQZDkVEREQC6EJkNFMWbuWr8O2kCw2mXYNyNKlShOAgbwjcsgLebQ9bV0KtezznL+cp/N+DikiSlZBlpZHeMwWdd6CMvi5ORERERAInXWgITzQox9iO9SmZLysjZ62lxyeL2LL/pKdD6aowcil0HAYrf4IO5eGbkRATE9jCRcSn4hMOp5nZB0A2M+sA/ASM829ZIiIiIpLYiuTOzJBHa9KneWWOnLpA1/ELGTV7LWcuREFwCDzwHHy4znPcxZhu0LMu7FgT6LJFxEfitVupmd0JNAQMmOOcm+fvwvxFy0pFREREru7shSgmzt/MzGU7yZIhlI533ECDGwtiZp5jL36ZAu/38GxU07K35xiutOkDXbaIxENCnjnMCFxwzsWYWVmgLDDbORfln1L9S+FQREREJP627j/JyNlr2bj3BJWK5qBLk4oUzZ3Z8+Gpo55zEedNgAKloPsHUKVBYAsWkatKSDhcDtQHsgMLgQg8zyG29keh/qZwKCIiInJtYp3jx5W7+ejnjZyPjOb+WiVoXb8U6UJDPB1W/gwjnoJ926BRO+jwFmTJGdiiReSKErIhjTnnzgEtgLHOuZZABV8XKCIiIiJJU5AZTasW4aNOt3BHpYJM+2Mb7cfOZ9HGAzjnoMrt8MEaeOgFmDcRnrzBs+w0Ho8viUjSEa9waGa1gdbAD962YP+VJCIiIiJJUbaMaXn2npt45/HaZEqXhoFfLueVqcvYf/yc53nDJwfD6OWQrxi82RpebAoHdga6bBGJp/iEw+5AX2CGc26dmZUAfvVvWSIiIiKSVFUonIPRHerx1J03sGbXMTq+P5/Pft9CZHQMlLwJhofDM8Nh7QLoUAGmvwOxsYEuW0SuIl67laYkeuZQRERExHeOnLrAh/PWM3/9fgrmyEjnxhWoVjK358NDu2BkJ1jyA4Q1gj6TIWuuwBYsIgnakCY38Dye5wzTXWp3ziXLragUDkVERER8b/n2w4yevY69x85yc/n8PHVneXJlSed57nDWOBjTFbLmgZemQfnagS5XJFVLyIY0nwEbgeLAq8BOYJlPqxMRERGRZK1aidy8/1R92t5ahsWbD9J+7G98vXg7Mc7BXR09S01D0sBzN8PXw7VZjUgSFK+jLJxz1cxstXOukrdtmXOueqJU6GO6cygiIiLiX/uPn2PMj2tZuvUwxfNkpmvTilQonANOH4dhj0P4TKh3Pzz3EWTMGuhyRVKdhNw5vHTY/X4zu8vMqgA5fFqdiIiIiKQY+bNnYGCr6vRvWY0zF6J47tNwvl/+F2TODgO+gfZD4Y9voHMYbFsV6HJFxCs+4XCQmWUFngN6AeOBnn6tSkRERESSNTOjTrl8jH/mFmqUzsPIWWv5evF2MIMHe8Nbv8KFs9C9Fvz4caDLFRHiEQ6dc987504659Y6525zzlVzzs1MjOJEREREJHlLFxrCyy2rUf+GfHwwbwNTFmzxfHBjfRi7EsrXgXeehGHt4MK5wBYrkspdNRya2QQzyxbn7+xmpp93RERERCRe0gQH0bdFFW6/sSATftvMJ79sxDkH2fPC4LnQ+mWYN8FzF3HP5kCXK5JqxWdZaSXn3IlLfzjnjgNV/FeSiIiIiKQ0wUFB9Gp2E02rFmHqom28P3e9JyAGB0PbgTBoFhzdB13C4PcvA12uSKoUn3AYZGbZL/1hZjmAEP+VJCIiIiIpUZAZ3ZpWpHmNYnyzdCfvzVpL7KWd86s3hjEroWgFGPQgjOkOUZGBLVgklYlPyHsbCDezSz/htARe919JIiIiIpJSmRlPNyxPujTBTF20jYtRMTx3byWCg4IgT2EYNh/GPw8zRsDGJfDSNMhTJNBli6QK8dmQZiLQAjjofbVwzk3yd2EiIiIikjKZGe0alKPtrWX4ec1eBn+9kqiYWM+HaULhmeHw0pewaz08UwWWzg5swSKpRHyWleKcW++cG+V9rfd3USIiIiKS8j1SvzRP3XkDCzYc4LUvlxMZHfO/D29+AEZFQO5C8FJT+PRliIm58mAikmDxCociIiIiIv7QolYJujatyJIth3hlagQXIqP/92GhMjA8HBq1gymDoG9DOH4wcMWKpHAKhyIiIiISUHdXK0qve29i1c4jvPj5Ms5ejPrfh+kywHMfe17r//AsM12zIHDFiqRgCociIiIiEnB33lSIF+6rwoY9x+k7eSmnzv9jp9JG7WDEYkiXEXrfBtOGwqWdTkXEJ64YDs3stJmdutIrMYsUERERkZTvlgoFePmBamw/eIo+k5Zw4uzFv3coeROMXg5174PxfWBAczh9PDDFiqRAVwyHzrnMzrkswAjgBaAgUAjoAwxPnPJEREREJDWpXTYvrz4Uxt6jZ+g9cTFHT1/4e4eMWTzHWzwzApbOgs7VYPPywBQrksLEZ1npvc65Mc650865U865sUAzfxcmIiIiIqlTtZK5GfRIDQ6fOs9zE8I5eOLc3zuYwX3d4J0FEBMNPevA9+9rmalIAsUnHJ41s9ZmFmxmQWbWGjjr78JEREREJPWqVDQng1vX5PT5SHpNXMzeY5f5n5831IIxK+Cm2+C9Z2DIY3D+TOIXK5JCxCccPgI8CBz0vlp620RERERE/OaGQtkZ8mgtLkRG02tCOH8dPv3vTllzwaBZ0PY1+HUKdK0Bf+lYbpHrcdVw6Jzb6Zxr5pzL5ZzL7Zxr7pzbmQi1iYiIiEgqVyp/Vt5qUxuA3hMXs+3AyX93CgqC1i/Bm/Pg1FHoUh1+mZLIlYokf1cNh2ZWxsx+NrO13r8rmdlL8RnczHaa2Roz+9PMIrxtA8xsr7ftTzNrGqd/XzPbamabzKxRnPbG3ratZvZCnPbiZrbE2/6FmYVey5cXERERkaSvWJ7MDGtTm9CQIJ6ftJiNe09cvmOV22HsSihdFd5sDe91gsiLl+8rIv8Sn2Wl44C+QBSAc2410Ooa5rjNOVfZORcWp+1db1tl59wsADMr7x23AtAYGON9zjEYGA00AcoDD3v7AgzxjlUKOA48eQ11iYiIiEgyUTBnRoa1rU3m9KH0nbyENbuOXb5jzgIw9Bdo2Ru+Hws968L+HYlbrEgyFZ9wmME5t/QfbdF+qKUZMNU5d9E5twPYCtTwvrY657Y75yKBqUAzMzOgATDde/0EoLkf6hIRERGRJCBftgwMa1ObnJnT8uJnS1ix/cjlO4akgQ5DYcA3sG8rdK4K4TMTt1iRZCg+4fCImZUEHICZPQDsj+f4DphrZsvNrGOc9i5mttrMPjaz7N62gsDuOH32eNuu1J4TOOGci/5H+7+YWUczizCziMOHD8ezdBERERFJanJlScewtrUpkCMjr0xdxuLNB6/cuU4zz26m+UpA/2Ywvo/n6AsRuaz4hMPOwAdAOTPbC/QAno7n+PWcc1XxLAntbGY3A2OBkkBlPCHz7Wuu+ho55z50zoU558Jy587t7+lERERExI+yZUzL0Da1KJ4nMwO/XM7v6//jvkX+EjB8Edz1FEwbCr0bwNF9iVesSDISn3DonHN3ALmBcs65evG8DufcXu+/h4AZQA3n3EHnXIxzLhbP84w1vN33AoXjXF7I23al9qNANjML+Ue7iIiIiKRwWdKH8uajNSlXMBuDv17BT6v3XLlzaDro/j48Pwm2LIdnqsDKXxKvWJFkIj4h7ysA59xZ59ylw2Wm/0d/AMwso5llvvQeaAisNbP8cbrdB6z1vp8JtDKztGZWHCgNLAWWAaW9O5OG4tm0ZqZzzgG/Ag94r28LfBuP7yMiIiIiKUDGdGl445EaVCqak2HfrmLWil3/fcEdj8KoZZA5B/S9E6a8DrGxiVOsSDIQcqUPzKwcnp1Ds5pZizgfZQHSxWPsvMAMz74xhABTnHM/mtkkM6uM53nEncBTAM65dWY2DViPZ8Obzs65GG8tXYA5QDDwsXNunXeOPsBUMxsErAQ+ite3FhEREZEUIV1oCANbVWfQ9OWM+GENF6NiuK9m8StfULS8JyAO7wifvgTrFkGfSZAlZ+IVLZJEmecG3GU+MGuGZ/fPe/Hc1bvkNJ5dRf/wf3m+FxYW5iIiIgJdhoiIiIj4UFRMLG9+vZKFGw/Q7raytKpX6r8vcA6+fx/e7wHZ8sJLX8INNROnWJEAM7Pl/zhq0NN+pXAY58Lazrlwv1WWyBQORURERFKmmNhYhn27il/W7uOReqVoc2sZvKvYrmxzBLzWEo7uhY5vQ7MucLVrRJK5K4XD+Dxz+LSZZYszUHYz+9in1YmIiIiIJFBwUBC9mlWmcZXCTFm4lQ/nbeBqN0IoE+Y57qJaIxjTDV5/CM6eSpyCRZKY+ITDSs65E5f+cM4dB6r4ryQRERERkesTHGR0v+tGmlUvxtdLdjBy9lpirxYQM2eHV7+FJ9+EhV9DlzDYsSZxChZJQuITDoPiHFSPmeXgPzayEREREREJpCAznmlUngfrlOSH5bt4Z+ZqYq62K2lQEDzUB4b+AudPQ7eaMHdC4hQskkTEJ+S9DYSb2Zfev1sCr/uvJBERERGRhDEznmhQlnRpgpk4fzMXo2Po07wyIcFXuTdS6WYYsxIGPwLDHoe1C6DzSEibPlHqFgmkq945dM5NBFoAB72vFs65Sf4uTEREREQkIcyM1jeXpsMdN/D7+v28Nn0FkdExV78wRz54cy483A9+/Ai614a9W/xfsEiAxWdZKUAO4KxzbhRw2HtIvYiIiIhIkvdA7RJ0aVKBxZsPMuCLCC5ExSMgBodAu9dh0A9weDd0DvM8jyiSgl01HJpZfzyHzff1NqUBJvuzKBERERERX7onrBjP3lOJlTuO8NKUpZy7GB2/C2s09exmWrgcDLwfxvaEqEj/FisSIPG5c3gfcC9wFsA5tw/I7M+iRERERER8rVHlwvRpXoV1u4/T97MlnD4fFb8L8xaFdxZAs64wYzj0vhUO7fZrrSKBEJ9wGOk8B8Q4ADPL6N+SRERERET849aKBXj5gapsO3CKPpMWc+LsxfhdmCYUOr8HL37hOeaiUxWImOPfYkUSWXzC4TQz+wDIZmYdgJ+Acf4tS0RERETEP+qUy0f/B6ux++gZek9czNHTF+J/8S0PwqgIyJEfXmwCE/tDTDyeYRRJBq4YDs0sLYBzbhgwHfgKKAu84pwbmTjliYiIiIj4XvVSeRj0cA0OnTxPr4nhHDp5Pv4XFy4L7y2BO9rA5IHQrzEcP+S/YkUSyX/dOQwHMLNJzrl5zrnezrlezrl5iVSbiIiIiIjf3FQsJ4MfrcnJs5H0mhDOvmNn439xugzQ6xPoOd5zFmKnKrBukf+KFUkE/xUOQ83sEaCOmbX45yuxChQRERER8ZfyhbIz5LFanI+MptfEcHYdORP/i82gyZPw3mJImx6euwWmvw3O+a9gET/6r3D4NFAfyAbc84/X3f4vTURERETE/0rnz8pbbWoTGwu9JoSz7cCpaxugZGUYvRzqNIMPe8GrLeDMCf8UK+JH5q7yy4aZPemc+yhnqVZQAAAgAElEQVSR6vG7sLAwFxEREegyRERERCSJ2XP0DH0mL+FCZAxvtK5B2QLZrm0A5+Dr4TD+echTBF6eDqWq+KdYkQQws+XOubB/tl91t1Ln3EdmVsfMHjGzNpde/ilTRERERCQwCuXMxNttapMpXQgvTFrC2l3Hrm0AM7i/JwybD1EXoXtt+OFDLTOVZOOq4dDMJgHDgHpAde/rXylTRERERCS5y5c9A8Pa1iZHprT0m7KUlTuOXPsgFerAmJVQ6RYY8RS81RbOX8NmNyIBEp9lpRuA8u5qHZMJLSsVERERkas5fuYiL0xewt5jZ3mlZTVqlM5z7YPExMCUQTD5VShS3rPMtEg53xcrco2ue1kpsBbI5/uSRERERESSpuyZ0vJWm1oUy5OZV6dFsGDD/msfJDgYHusPb8yBEweha3X4darvixXxkfiEw1zAejObY2YzL738XZiIiIiISCBlyRDKkEdrUqZANt74aiW/rNl7fQNVu9OzzLR4JRj8MIzqApEXfVusiA+ExKPPAH8XISIiIiKSFGVMl4Y3Wteg/xcRDP3mTy5Gx9CkSpFrHyh3IRj2G3zc13MW4qal8OI0yFfM1yWLXLerPnOY0uiZQxERERG5VhejYhj45XIith3mmUblaV6j+PUPtnAGDHvcs+z0+UlQ8y6f1SkSH9f8zKGZnTazU5d5nTazazwZVEREREQk+UqbJpj+D1ajbtm8jJ2zni8Wbbv+werdB2NWQJ6i8PLd8HE/iIn2XbEi1+mK4dA5l9k5l+Uyr8zOuSyJWaSIiIiISKCFhgTT7/6q3FqhAB//spGJv23mulfhFSgJw/+AJh1g6mDocwccO+DbgkWuUXw2pBERERERESAkOIjnm1emUeVCfLZgC+N/3nj9ATFteuj5IfSe4HkGsVMVWPWbT+sVuRYKhyIiIiIi1yA4yOhxdyXurV6U6eHbGf3jOmITso/HnW3gvaWQISv0uR0+Hwyxsb4rWCSeFA5FRERERK5RkBmdGlWgZe0SfBfxF+98t5qY2AQExOIVYdQyqN8SPukH/e+FU8d8V7BIPCgcioiIiIhcBzPjydvL8djNpZm3ag9DZqwkOiYBd/wyZIZ+n0OXUbB8LnSuCpuW+a5gkatQOBQRERERuU5mxqO3lOHJ28sxf/1+Bk1fQWR0TEIGhHs7wzsLwTnoWRdmjva8F/EzhUMRERERkQR6sE5JOjWuQPjmgwyYtpwLUQkIiADlasCYlVCtIYzqAoMfgXOnfVOsyBUoHIqIiIiI+ECz6sXoefeNrNh2mJc/X8q5iwk8uzBLDnh1JjwxGH6fBl2qw461vilW5DIUDkVEREREfKRxlSI837wya3cdp99nSzhzISphAwYFQasXYMjPcPYEdKsBP03yTbEi/6BwKCIiIiLiQw1uLMhLD1Rly/6T9Jm0mJPnIhM+6E23epaZlq0BQ9vAux0h8kLCxxWJw6/h0Mx2mtkaM/vTzCL+8dlzZubMLJf3bzOz98xsq5mtNrOqcfq2NbMt3lfbOO3VvONv9V5r/vw+IiIiIiLxUbdcPgY8FMauI2foPTGcY2d8EORy5ochP0GrvjB7HPSoA/u2JXxcEa/EuHN4m3OusnMu7FKDmRUGGgK74vRrApT2vjoCY719cwD9gZpADaC/mWX3XjMW6BDnusb+/SoiIiIiIvFTvVQeXmtVnYMnztNrwmIOnTyf8EGDQ+CJN2Dgd3BwJ3SuBou+Sfi4IgRuWem7wPNA3D15mwETncdiIJuZ5QcaAfOcc8ecc8eBeUBj72dZnHOLnXMOmAg0T9yvISIiIiJyZZWL5+KN1jU4fvYivSaGs//4Od8MXOtuGL0CCpaGV++DD3tBdAKfb5RUz9/h0AFzzWy5mXUEMLNmwF7n3Kp/9C0I7I7z9x5v23+177lMu4iIiIhIklGhcA6GPFqTcxej6TUhnN1Hzvhm4HzFPOch3tsZpr8NvW+DI3t9M7akSv4Oh/Wcc1XxLBntbGY3A/2AV/w879+YWUczizCziMOHDyfm1CIiIiIilCmQjaGP1SI6NpZeE8PZcfCUbwYOTQtdRkHfz2Hbn/BMFVjxk2/GllTHr+HQObfX++8hYAZwC1AcWGVmO4FCwAozywfsBQrHubyQt+2/2gtdpv1ydXzonAtzzoXlzp3bB99MREREROTalMibhbfa1CY4yOg9aTGb953w3eC3tYJREZAtD/RtCJMHQmys78aXVMFv4dDMMppZ5kvv8WxAs8w5l8c5V8w5VwzPUtCqzrkDwEygjXfX0lrASefcfmAO0NDMsns3omkIzPF+dsrManl3KW0DfOuv7yMiIiIiklBFcmXi7bZ1yJA2hD6Tl7Bu9zEfDl4O3lsCtz8KE/vDi03ghFbNSfz5885hXmChma0ClgI/OOd+/I/+s4DtwFZgHNAJwDl3DHgNWOZ9DfS24e0z3nvNNmC2H76HiIiIiIjP5M+egWFtapM9Y1r6fbaUP3cc8d3g6TNC7wnQ40NYPR86VYHNy303vqRo5tnoM/UICwtzERERV+8oIiIiIuJHx85c4IXJS9h//ByvtKxG9VJ5fDvBlhUwsIXn7mHfKVCnmW/Hl2TLzJbHPWrwkkAdZSEiIiIikqrlyJSOt9rUpkiuTAz4IoJFGw/4doLSVT3LTItV9Bx38fVwSGU3huTaKByKiIiIiARI1gyhDHmsFqXzZ2XQ9BX8utbHR1Fkzwtv/Qp174P3e8KoLhAT7ds5JMVQOBQRERERCaBM6dLwRuuaVCySnSEz/mTOn7uvftG1SJcBXvoSWvaG78bAK/fCudO+nUNSBIVDEREREZEAy5A2hNcerkHVErl457vVfLtsp28nCAqCDkOh+wewfC48Ww8O7/HtHJLsKRyKiIiIiCQB6dIEM+ChMGqXycuYH9fx5R/bfD/JXR1h0Cw4sAO61vBsWiPipXAoIiIiIpJEhIYE89IDVbmlfH7G/7yRyfM34/PTBcIawrt/QEgaeLY+hH/n2/El2VI4FBERERFJQkKCg+hzXxXuvKkQk37fwkc/b/R9QCxe0bOTadHyMKAZzHjPt+NLsqRwKCIiIiKSxAQHGc/eU4m7qxXhy/DtjJmzjlhfB8Qc+WDYfKjTHMZ2h9FdtZNpKhcS6AJEREREROTfgszo0qQiadME89XiHVyMiqH7XZUIDjLfTXJpJ9OP+sD0tz3PIvb9HDJk9t0ckmzozqGIiIiISBJlZnS44wYeqV+KOX/uYeg3fxIdE+vbSYKDoeMw6DYWlv3oeQ5RO5mmSgqHIiIiIiJJmJnR9tayPNGgLL+t28cbX60gMjrG9xPd/TQM+gEObIduNWHrSt/PIUmawqGIiIiISDLwUN1SPNOoPIs2HWTgl8u5GOWHgBjWCN5dBEHBnjuIi7/3/RySZCkcioiIiIgkE81rFKf7XTcSsfUwL09dxvlIP2wgU/xGz06mhct5djL9ZqTv55AkSeFQRERERCQZaVq1CL2b3cSav47R77OlnL0Q5ftJcub37GRa8x4Y0w3GdIcYP9yplCRF4VBEREREJJm5vVIh+t1fhU37TtBn8hJOnYv0/STpM8IrX8H9z8I378GA5nD+jO/nkSRD4VBEREREJBmqf0N++j9YjZ2HTtN74mKOn7no+0mCg+Gpt6HrGFg2C567GY7s9f08kiQoHIqIiIiIJFM1S+fltYers//EOXpNCOfwqfP+meieZ2Dg97B3i2cn022r/DOPBJTCoYiIiIhIMlaleC7eeKQGx85cpNeEcA4cP+efiWo0gXcWAgbP1oOls/wzjwSMwqGIiIiISDJXsUgO3nysJmcuRPPcxHD2HPXTs4Elb4KRS6BgaXjlHpg52j/zSEAoHIqIiIiIpABlC2Rj6GO1iIqOpdeExew8dNo/E+UsAG//DjXuglFdYGxP7WSaQigcioiIiIikECXzZWFYm1oEBUHvieFs2X/SPxOlzwT9Z8B9PWDGcBjYAs6f9c9ckmgUDkVEREREUpAiuTMzrE1t0oWG0GfSYpZvO+yfiYKD4Zl3ofNIWPK9ZyfTo/v8M5ckCoVDEREREZEUpkCOjLzdtja5s6TnxSlLmTx/M7HO+WeyZl3g1ZmwdzN0rQnbV/tnHvE7hUMRERERkRQoT9b0jHiiDg1uLMik37fw0ufLOHku0j+T1bwL3lkAOOhZF5b96J95xK8UDkVEREREUqh0oSH0bnYT3e+6kdU7j9J53AI27j3un8lKVob3lkCBUvDyXfDdWP/MI36jcCgiIiIikoKZGU2rFuHddnUICjKe+zScb5fuwPljmWmugp47iNWbwshO8MFz2sk0GVE4FBERERFJBUrnz8ro9vWpVjI3Y+as580Zf3LuYrTvJ0qfCQZ8A827wVfvwMD7tZNpMqFwKCIiIiKSSmROn4YBD4XxRIOy/L5+H90+Wuif8xCDg6HTCHhmBCz5DnrdAkf3+34e8SmFQxERERGRVCTIjIfqlmLwozU5fSGKbh8v4pc1e/0z2X3dYMC3sHsjdKsJO9b4Zx7xCYVDEREREZFUqHKxXIzpUJ/S+bMy5Js/GTlrDZHRfng+sNbdnucQY2M8O5lGzPH9HOITCociIiIiIqlUzszpGPpYTVrWLsH3y3fx3IRwDp445/uJSlXx7GSarwS8dBd8/4Hv55AEUzgUEREREUnFgoOCaH/HDfRvWY09R8/SadxClm455PuJchfy3EEMawTvPQ0f9oLYWN/PI9dN4VBERERERKhTLh+j29cjT9b0vDx1GZ/+uomYWB8fd5EhM7z6LTTrAtPfhtcegAt+uFMp10XhUEREREREACiQIyPD29WhUeVCfL5wK/2mLOHE2Yu+nSQ4BDqP9Oxk+sc30PtWOHbAt3PIdVE4FBERERGR/5c2TTDP3nMTz95TifW7j9Np3ALW7T7m+4nu6+Y5D3HnOu9Opmt9P4dcE7+GQzPbaWZrzOxPM4vwtr1mZqu9bXPNrIC33czsPTPb6v28apxx2prZFu+rbZz2at7xt3qvNX9+HxERERGR1KJR5cIMb1eH0JBgek9czNeLt+Ocj5eZ1r4X3v4doqO8O5nO9e34ck0S487hbc65ys65MO/fbznnKjnnKgPfA69425sApb2vjsBYADPLAfQHagI1gP5mlt17zVigQ5zrGifC9xERERERSRVK5svK6Pb1qFU6Dx/M28Cg6Ss4ezHKt5OUqebdybQYvNQUZo3z7fgSb4m+rNQ5dyrOnxmBSz8/NAMmOo/FQDYzyw80AuY55445544D84DG3s+yOOcWO89PGBOB5on3TUREREREUr6M6dLwcstqdLjjBv7YdJCu4xex/eCpq194LfIUhncWQrWGMLwjjO+jnUwDwN/h0AFzzWy5mXW81Ghmr5vZbqA1/7tzWBDYHefaPd62/2rfc5n2fzGzjmYWYWYRhw8fTuBXEhERERFJXcyMB2qXYGibWpyPjKbHx4uYt2rP1S+8Fhkyw8CZcE8nmDYUBj2onUwTmb/DYT3nXFU8S0Y7m9nNAM65F51zhYHPgC5+rgHn3IfOuTDnXFju3Ln9PZ2IiIiISIp0Y5EcjOlQn3KFsjNs5ire/X41kdExvpsgOAS6jIKn34VFX0Pv2+D4Qd+NL//Jr+HQObfX++8hYAaeZwbj+gy43/t+L1A4zmeFvG3/1V7oMu0iIiIiIuIn2TOlZXDrGjxUtyQ/rtxNz0/+YP9xH97hM4MWPaD/DNi51rOT6V/rfTe+XJHfwqGZZTSzzJfeAw2BtWZWOk63ZsBG7/uZQBvvrqW1gJPOuf3AHKChmWX3bkTTEJjj/eyUmdXy7lLaBvjWX99HREREREQ8goOCeKJBOV59KIwDJ87RedwCwjf5+A5fnWbw9nyIugjda8OKn3w7vvyLP+8c5gUWmtkqYCnwg3PuR+BNM1trZqvxBL3u3v6zgO3AVmAc0AnAOXcMeA1Y5n0N9Lbh7TPee802YLYfv4+IiIiIiMRRq0xeRrevT/7sGRgwLYKPft5IjC83kikT5tnJNG9ReLEJzB7vu7HlX8znZ5UkcWFhYS4iIiLQZYiIiIiIpBiR0TG8P3c9PyzfRaWiOejbogo5MqXz3QRnT8HrD0LEHHjoBWj3OgQl+sELKYaZLY9z1OD/0/9FRUREREQkQUJDgunW9EZ6N7uJTXtP0HncQlb/ddR3E2TMAq99D3c9BV+8CW+0govnfTe+AAqHIiIiIiLiI3dUKsR7T9YjQ2gIfSYt5otF2/DZSsXgEOg2FjoOgwXTvTuZHvLN2AIoHIqIiIiIiA8Vy5OZ99rXpW65/Hz8y0YGTFvOmQtRvhncDB54Dl7+Cnas1k6mPqZwKCIiIiIiPpUxbRpevL8KTzcsz7Kth+gyfiFb95/03QT17oNh8yHyPPSoAyt/9t3YqZjCoYiIiIiI+JyZcV/N4gxrW5uomFh6fPIHs1fu8t0y07LVPTuZ5i4M/RrDjx/7ZtxUTOFQRERERET8pnyh7IxuX48bi+Zg+PdrePu71VyIivHN4HmLwrsLoXIDeOdJ+Lgf+PIojVRG4VBERERERPwqW8a0DHq4Bo/eXJqfVu2hx8eL2Hv0rG8Gz5jVs5Np044wdTAMflg7mV4nhUMREREREfG74CDjsVvK8NrD1Tly+gJdxi9kwYb9vhk8JA10fx86vAXzp0Gf2+HEYd+MnYooHIqIiIiISKKpXioPYzrUp3CuTAyavoIP5q4nOsYHS0HNoGUveHk6bF3p2cl014aEj5uKKByKiIiIiEiiypM1PcPa1uLe6kX5eskOnp+0mCOnLvhm8Pr3e3YyvXDWs5Ppn7/6ZtxUQOFQREREREQSXWhIMJ0bV6TvfVXYduAUnccvYOWOI74ZvFwNz06mOQtA34Yw91PfjJvCKRyKiIiIiEjA3FqxACOfrEuW9KH0+2wJUxZsIdYXx13kKwbvLoJKt8KwdvDJS9rJ9CoUDkVEREREJKCK5M7Me0/W5ZYKBZjw22b6T13GqfORCR84UzZ4fRY0aQ+fvw5vtoZIHy1fTYEUDkVEREREJODSh4bQp3llujSpyModR+kybiGb951I+MAhaaDHh9B+CPw2FZ7XTqZXonAoIiIiIiJJgplxT1hR3n68Ng549tNwvov4C5fQZaZm8ODz8NKXsHUFdK8Fuzf5pOaUROFQRERERESSlLIFsjG6fT0qF8/JqNlrGfrNn1yIjE74wDc/AG/9BufPQI/asOq3hI+ZgigcioiIiIhIkpMlQygDW1Wn7a1l+HXtPrp+tIhdR84kfOAbasKIxZA9n2cn03kTEz5mCqFwKCIiIiIiSVKQGY/UL80brWty8lwk3T5ayG/r9iV84PzFYfgfULE+vNUWJrwCvtghNZlTOBQRERERkSStaolcjO5Qj+J5sjD465WM+XEdUTEJPJYiUzZ4fTY0egI+ew3efDTV72SqcCgiIiIiIkle7izpeatNLVrULM63y3bSa0I4h06eT9igaULh2fHwxGD4dQq8cCecPOKbgpMhhUMREREREUkWQoKDeKpheV66vyq7Dp+h87gFRGxL4LEUZtDqBXjxC9i0zLOT6Z7Nvik4mVE4FBERERGRZKV++fyMbF+XnJnT8dKUpUyav5mY2AQ+M3jLg/DWr3D2lCcgrv7dN8UmIwqHIiIiIiKS7BTKmYnhT9Tl9koFmfz7Fl7+fCknz0UmbNDyteG9xZAtL7xwB/w0yTfFJhMKhyIiIiIikiylSxNMr3tvovtdN7L6r2N0GreADXuOJ2zQ/CU8O5lWqAdD28DEAalmJ1OFQxERERERSbbMjKZVi/BuuzqEBBnPTQjnm6U7cAkJdJmzwxs/QqN2MPlVT0iMvOi7opMohUMREREREUn2SufPyqj29aleMjdj56znja9Xcu5i9PUPmCYUnv0I2r0OP0/27GR66qjvCk6CFA5FRERERCRFyJw+Df0fCuOJBuVYuGE/XT9ayM5Dp69/QDN4uB/0mwqblkL32rB3i+8KTmIUDkVEREREJMUIMuOhuiV589FanL0QTbePF/Hz6j0JG/TWh2DoL3DmOHSrBWsW+KbYJEbhUEREREREUpybiuVkdId6lMmflaHfruK9WWuIjI65/gEr1IERiyFrbs9Opj9/5rtikwiFQxERERERSZFyZk7HkMdq0rJ2CX5YvotnPw3nwIlz1z9ggZIwIhzK14Ehj8LkgSlqJ1OFQxERERERSbGCg4Jof8cN9G9ZjX3HztJ53EKWbDl4/QNmzg5vzIE728LE/vBW2xSzk6nCoYiIiIiIpHh1yuVjVPt65M2anlemRvDJLxuJib3Ou35pQqHXJ9D2NfhpEvRtCKeO+bbgAFA4FBERERGRVKFAjoy8264OjSsXZuqibfT7bAnHz1znXT8zaP0S9J0CGxdDj9qwd6tvC05kCociIiIiIpJqpE0TTM97KvHsPZVYv+c4nccvYO2uBNz1u+1hGPKz5wzE7rVg3SLfFZvI/BoOzWynma0xsz/NLMLb9paZbTSz1WY2w8yyxenf18y2mtkmM2sUp72xt22rmb0Qp724mS3xtn9hZqH+/D4iIiIiIpIyNKpcmOHt6pI2TTC9Jy5mevh23PVuLlOxnmcn0yw54fkG8Ovnvi02kSTGncPbnHOVnXNh3r/nARWdc5WAzUBfADMrD7QCKgCNgTFmFmxmwcBooAlQHnjY2xdgCPCuc64UcBx4MhG+j4iIiIiIpAAl82Vh1JP1qF02L+N+2sBrXy7n7IWo6xusYCkYHg7lasHgR+CzQcluJ9NEX1bqnJvrnIv2/rkYKOR93wyY6py76JzbAWwFanhfW51z251zkcBUoJmZGdAAmO69fgLQPLG+h4iIiIiIJH8Z06Xh5Qeq0vHOGwjffIguHy1k24FT1zdYlhwweC7c8RhMeBm+ese3xfqZv8OhA+aa2XIz63iZz58AZnvfFwR2x/lsj7ftSu05gRNxgual9n8xs45mFmFmEYcPH77uLyMiIiIiIimPmXF/rRK81aYWFyJj6PHJIuau2n31Cy8nNC30ngCdR0Lj5LWw0d/hsJ5zriqeJaGdzezmSx+Y2YtANPCZn2vAOfehcy7MOReWO3duf08nIiIiIiLJUMUiORjToT7lC2Xn7Zmrefe71VyMirn2gcygWRfIlO3qfZMQv4ZD59xe77+HgBl4lohiZo8DdwOt3f+e+twLFI5zeSFv25XajwLZzCzkH+0iIiIiIiLXJXumtLzRuiat6pbkxz930/OTP9h37Gygy0oUfguHZpbRzDJfeg80BNaaWWPgeeBe59y5OJfMBFqZWVozKw6UBpYCy4DS3p1JQ/FsWjPTGyp/BR7wXt8W+NZf30dERERERFKH4CCjXYNyDGwVxsGT5+kyfiF/bDoQ6LL8zp93DvMCC81sFZ6Q94Nz7kdgFJAZmOc94uJ9AOfcOmAasB74EejsnIvxPlPYBZgDbACmefsC9AGeNbOteJ5B/MiP30dERERERFKRmqXzMrpDPQrkyMir05Yz/qcNxMTGBrosv7HrPssjmQoLC3MRERGBLkNERERERJKJyOgY3p+7nh+W7+LGIjno26IKOTOnC3RZ183Mlsc5avD/JfpRFiIiIiIiIslJaEgw3ZreyPPNbmLz/pN0HreQVTuPBrosn1M4FBERERERiYfbKxXivSfqkjFdCC9MXswXi7YRm4JWYiocioiIiIiIxFOxPJkZ+WQ96t2Qn49/2cirX0Rw+nxUoMvyCYVDERERERGRa5AhbQj9WlThmUblWbbtMF3GL2DL/pOBLivBFA5FRERERESukZnRvEZxhrWtTXSso+cnfzBrxS6S84afCociIiIiIiLXqXyh7IxuX48bi+ZgxA9rGDZzFReiYgJd1nVROBQREREREUmAbBnTMujhGjx6c2l+Xr2XHh8vYs/RM4Eu65opHIqIiIiIiCRQcJDx2C1lGPRIDY6evkDX8YtYvPlgoMv6v/buP8aysr7j+PsjK1oq0AV0u+U37VK61SXQxVK1pUvRLiQVfxADUcu2aBtrW4m1ySY0DdWaIrZqjLQNoYbVKApIUhqrDa5LbICl3SywZEF3lx8Nv6GUKmoqpX77x3lWLpOZ2Rl3lnPn3PcruZlnnvOcc577mbt353vPj5kXi0NJkiRJWiCrf/blXPbuX+W4nz6Igw/Yv+/pzMuSvicgSZIkSUPyioN/gr/+7VNJ0vdU5sUjh5IkSZK0wBZbYQgWh5IkSZIkLA4lSZIkSVgcSpIkSZKwOJQkSZIkYXEoSZIkScLiUJIkSZKExaEkSZIkCYtDSZIkSRIWh5IkSZIkLA4lSZIkSVgcSpIkSZKwOJQkSZIkAamqvufwgkryBPAffc9jGocB/9n3JCaU2ffH7Ptj9v0x+/6YfX/Mvl/m359xzf7oqnr51M6JKw7HVZItVbW673lMIrPvj9n3x+z7Y/b9Mfv+mH2/zL8/iy17TyuVJEmSJFkcSpIkSZIsDsfJ5X1PYIKZfX/Mvj9m3x+z74/Z98fs+2X+/VlU2XvNoSRJkiTJI4eSJEmSJIvDGSU5MsmmJHcl2Z7kfa3/kCQ3JNnZvi5t/W9Psi3JnUluTnLiyLbWJvlWkl1J1s+yz/PbdncmOb/1HZDky0m+2eZxySzrfzjJA0m+O8PytyapJGN9x6QhZZ9kXZInktzeHu/a23z2pSFl35a9beS5fH5vstnXhpR9ko+PvOZ3JPnvvc1nXxpY9ke153Jbm+NZe5vPvjSw7I9OsrHN78YkR+xtPvvSYst+tnFJXpLki23/tyY5ZmFS2jcGlv2vJdma5Nkk5yxURvvKwLJ/f3se29p7z9ELElJV+ZjmASwHTm7tA4EdwErgUmB9618PfKS1XwMsbe0zgVtbez/gHuA4YH/gDmDlNPs7BLi3fV3a2kuBA4A1bcz+wL8CZ84w51PbvL87zbIDgW8AmzeWTHkAAAfsSURBVIHVfec7KdkD64BP9Z3phGa/ArhtZH6v6DvfScl+ypg/Aj7dd76Tkj3dtS3vae2VwP195ztB2V8DnN/apwOf7TvfIWU/2zjgD4C/b+1zgS/2ne8EZX8MsAr4DHBO39lOWPZrgANa+z0L9br3yOEMquqRqtra2k8DdwOHA2cDG9qwDcCb2pibq+qp1r8Z2P2J4auBXVV1b1U9A3yhbWOq3wRuqKr/atu5AVhbVd+vqk1tH88AW0e2PXXOm6vqkRme0oeAjwD/M6cAejTA7BeNgWX/buCy3fOrqsfnmkMfBpb9qPOAq/YwplcDy76Ag1r7YODhuWTQl4FlvxL4emtvmmH/Y2OxZb+HcaNzvhb4jSSZbyYvlCFlX1X3V9U24Ic/diAvoIFlv6mqvj/N3PaKxeEctNMTTgJuBZaN/KfwKLBsmlUuAL7S2ocDD4wse7D1TbXHcUl+CvgtYOM8538ycGRVfXk+642DxZ5989Z2yP/aJEf+GOv3YgDZHw8cn+SmJJuTrJ3n+r0ZQPa71z8aOJbnfmEeewPI/mLgHUkeBP6Z7sjtojCA7O8A3tLabwYOTHLoPLfRi8WW/TTjfrTtqnoW+DZg9s/Zl9kvWgPLfnRue2XJQmxkyJK8DPgScGFVfWf0g6iqqiQ1Zfwauh/Q6xZ4HkvoPn3/ZFXdO4/1XgR8jO70xkVlsWff/BNwVVX9IMnv030adfpCzm9fGEj2S+hOLf11uk/TvpHkVVU17te/DSH73c4Frq2q/1u4me07A8n+PODKqvqbJL8CfDbJK6tqrD/VH0j2HwA+lWQd3WUcDwFj/9pfbNkv0HvTWDD7/gwp+yTvAFYDpy3EnDxyOIskL6Z74Xyuqq5r3Y8lWd6WLwceHxm/CrgCOLuqnmzdDwGjR4uOAB5K8st57oYNb5xp3Mj3lwM7q+oTbV/7jaz/wVmexoHAK4Ebk9xPd63E9Rn/m9IMIXuq6smq+kH79grgl+aaQV+Gkj3dp3PXV9X/VtV9dNcVrJhrDn0YUPa7ncuYn1K624CyvwC4GqCqbgFeChw2txT6MZTsq+rhqnpLVZ0EXNT6xv3DqMWY/fPGTZ1D+yX6YOBJxtiAsl90hpR9kjPo3m/eOPL75t6pMbg4dBwfQOgurv3ElP6P8vwLVi9t7aOAXcBrpoxfQnfx6bE8d8HqL06zv0OA++guUl3a2oe0ZX9J9yJ+0RznPtvNIW5k/G9IM5jsgeUj7TcDm/vOd4KyXwtsaO3D6E7rOLTvjCch+9Z3AnA/dH9Pd5wfQ8qe7rSida39C3TXHI7tz2Bg2R+2e13gw8AH+853aNnPNA54L8+/Ic3Vfec7KdmPLL+SxXFDmsFkT3dK7D3AigXNqO8f0rg+6A4bF7ANuL09zqI7h30jsBP42sgP+ArgqZGxW0a2dRbdUYt7gItm2efvthfgLuB3Wt8RbR53j2z7XTOsfynd0ZIftq8XTzPmRsa/OBxM9sBfAdvbm8Ym4IS+852g7EN3SvVdwJ3AuX3nOynZt2UXA5f0neukZU93U5Sb6N5zbgfe0He+E5T9OW2+O9o8X9J3vkPKfrZxdEfIr2nb/TfguL7znaDsT2n/Dr5Hd7R2e9/5TlD2XwMeG+m/fiEyStu4JEmSJGmCec2hJEmSJMniUJIkSZJkcShJkiRJwuJQkiRJkoTFoSRJkiQJi0NJkgBIcmSSTUnuSrI9yftGlh2S5IYkO9vXpa3/7Um2Jbkzyc1JThxZZ22SbyXZlWT9DPu8Msl9Se5IsiPJZ5IcMYe5XpjkgIV43pIk7WZxKElS51ngT6pqJXAq8N4kK9uy9cDGqlpB97ewdhd79wGnVdWrgA8BlwMk2Q+4DDiT7m8Pnjeyran+tKpOBH4euA34epL99zDXCwGLQ0nSgrI4lCQJqKpHqmpraz9N90eHD2+LzwY2tPYG4E1t3M1V9VTr30z3B4sBXg3sqqp7q+oZ4AttG7Ptv6rq48CjdEUlSf4uyZZ2JPMvWt8fAz8DbEqyqfW9IcktSbYmuSbJy/YuDUnSJLI4lCRpiiTHACcBt7auZVX1SGs/CiybZrULgK+09uHAAyPLHuS5QnNPtgIntPZFVbUaWAWclmRVVX0SeBhYU1VrkhwG/BlwRlWdDGwB3j/HfUmS9CNL+p6AJEnjpB11+xJwYVV9Z+ryqqokNWWdNXTF4esWYgoj7bcl+T26/6+X052ium3K+FNb/01JAPYHblmAeUiSJozFoSRJTZIX0xWGn6uq60YWPZZkeVU9kmQ58PjIOquAK4Azq+rJ1v0QcOTI+ke0vrk4CdiY5FjgA8ApVfVUkiuBl043beCGqjpvjtuXJGlanlYqSRKQ7rDbPwB3V9XHpiy+Hji/tc8H/rGtcxRwHfDOqtoxMv7fgRVJjm03lzm3bWPW/bfrCZcDXwUOAr4HfDvJMtp1iM3TwIGtvRl4bZKfa9v5ySTHz/2ZS5LUsTiUJKnzWuCdwOlJbm+Ps9qyS4DXJ9kJnNG+B/hz4FDgb9v4LQBV9Szwh8C/0N3Y5uqq2j7Dfj+a5A5gB3AK3bWEz1TVHXR3L/0m8HngppF1Lge+mmRTVT0BrAOuSrKN7pTSE5AkaZ5SVXseJUmSJEkaNI8cSpIkSZIsDiVJkiRJFoeSJEmSJCwOJUmSJElYHEqSJEmSsDiUJEmSJGFxKEmSJEnC4lCSJEmSBPw/PwuZBXMt4pYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "Calculate MAPE test score using SEIR model result\n",
    "\"\"\"\n",
    "test = get_China_total(SIR_data[SIR_data['date'] >= datetime.datetime(2020, 2, 14)])\n",
    "plot_test_data_with_MAPE(test, result,'Infected cases prediction for China total')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Estimate Ex-Hubei"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The loss in is 20854.03588310324\n",
      "The MAPE in the whole period is nan\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Maximum infected case:  9017\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MAMPE is: \n",
      "0.06869867589170144\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "NotHubei = get_China_exclude_province(China_df, \"Hubei Province\")\n",
    "\n",
    "NotHubei[\"E\"] = NotHubei[\"E\"] * 1/4 # suppose the number of exposed cases outside Hubei\n",
    "\n",
    "Dynamic_SEIR2 = Train_Dynamic_SEIR(epoch = 10000, data = NotHubei, \n",
    "                 population = China_population-Hubei_population, rateAl = 1/7, rateIR=1/14)\n",
    "\n",
    "estimation_df = Dynamic_SEIR2.train() \n",
    "est_beta = Dynamic_SEIR2.rateSI\n",
    "est_alpha = Dynamic_SEIR2.alpha\n",
    "est_b = Dynamic_SEIR1.b\n",
    "est_c = Dynamic_SEIR1.c\n",
    "population = Dynamic_SEIR2.numIndividuals\n",
    "\n",
    "# Draw fitted result\n",
    "Dynamic_SEIR2.plot_fitted_beta_R0(NotHubei)\n",
    "Dynamic_SEIR2.plot_fitted_result(NotHubei)\n",
    "\n",
    "## use the last observation as the initial point in the new SEIR model\n",
    "I0 = list(NotHubei['I'])[-1]\n",
    "R0 = list(NotHubei['R'])[-1]\n",
    "E0 = list(NotHubei['E'])[-1] * 1/4 # suppose the number of exposed cases outside Hubei\n",
    "S0 = population - I0 - E0 - R0\n",
    "\n",
    "seir_new2 = dynamic_SEIR(eons=50, Susceptible=S0, Exposed = E0, \n",
    "                    Infected=I0, Resistant=R0, rateIR=1/14, \n",
    "                    rateAl = 1/7, alpha = est_alpha, c = est_c, b = est_b)\n",
    "\n",
    "result2= seir_new2.run(death_rate = 0.02) # assume death rate is 2%\n",
    "seir_new2.plot_noSuscep('Dynamic SEIR for China Ex-Hubei', 'population', 'Date', starting_point = China_total['date'].max())\n",
    "\n",
    "\"\"\"\n",
    "Calculate MAPE test score using SEIR model result\n",
    "\"\"\"\n",
    "China_df_test = SIR_data[SIR_data['date'] >= datetime.datetime(2020, 2, 14)] \n",
    "test = get_China_exclude_province(China_df_test, \"Hubei Province\")\n",
    "\n",
    "plot_test_data_with_MAPE(test, result2, 'Infected cases prediction for ex-Hubei')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimate Hubei \n",
    "\n",
    "Which is equal China total - Ex-Hubei"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The MAMPE is: \n",
      "0.010595940681689632\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## estimted result \n",
    "result_Hubei = result - result2\n",
    "\n",
    "China_df_test = SIR_data[SIR_data['date'] >= datetime.datetime(2020, 2, 14)] \n",
    "test = get_province_df(China_df_test, \"Hubei Province\")\n",
    "\n",
    "plot_test_data_with_MAPE(test, result_Hubei, 'Infected cases prediction for Hubei')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
